Generalized Preinvexity And Second Order Duality In Multiobjective Programming

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Generalized Preinvexity and Second Order Duality in Multiobjective Programming

Author : Xinmin Yang
Publisher : Springer
ISBN 13 : 9811319812
Total Pages : 167 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Generalized Preinvexity and Second Order Duality in Multiobjective Programming by : Xinmin Yang

Download or read book Generalized Preinvexity and Second Order Duality in Multiobjective Programming written by Xinmin Yang and published by Springer. This book was released on 2018-09-27 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions. It begins by describing the main properties of these functions and various relations. Several examples are then presented to illustrate various interesting relationships among preinvex functions and the properly inclusive relations among the generalized invariant monotonicities. In addition, several second order and higher order symmetric duality models are provided for multi-objective nonlinear programming problems. Lastly, weak and strong duality theorems under generalized convexity assumptions are provided. The book offers a well-synthesized, accessible, and usable treatment for students, researchers and practitioners in the areas of OR, optimization, applied mathematics and engineering, and all those working on a wide range of related problems, which include financial institutions, logistics, transportation, traffic management, etc.

Advances in Intelligent Systems and Interactive Applications

Author : Fatos Xhafa
Publisher : Springer Nature
ISBN 13 : 3030343871
Total Pages : 856 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Advances in Intelligent Systems and Interactive Applications by : Fatos Xhafa

Download or read book Advances in Intelligent Systems and Interactive Applications written by Fatos Xhafa and published by Springer Nature. This book was released on 2019-11-16 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is based on the research papers presented at the 4th International Conference on Intelligent, Interactive Systems and Applications (IISA2019), held on June 28–30, 2019 in Bangkok, Thailand. Interactive intelligent systems (IIS) are systems that interact with human beings, media or virtual agents in intelligent computing environments. This book explores how novel interactive systems can intelligently address various challenges and also limitations previously encountered by human beings using different machine learning algorithms, and analyzes recent trends. The book includes contributions from diverse areas of IIS, here categorized into seven sections, namely i) Intelligent Systems; ii) Autonomous Systems; iii) Pattern Recognition and Computer Vision; iv) E-Enabled Systems; v) Internet & Cloud Computing; vi) Mobile & Wireless Communication; and vii) Various Applications. It not only presents theoretical knowledge on the intelligent and interactive systems but also discusses various applications pertaining to different domains.

Continuous Optimization and Variational Inequalities

Author : Anurag Jayswal
Publisher : CRC Press
ISBN 13 : 1000648982
Total Pages : 309 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Continuous Optimization and Variational Inequalities by : Anurag Jayswal

Download or read book Continuous Optimization and Variational Inequalities written by Anurag Jayswal and published by CRC Press. This book was released on 2022-09-13 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proposed book provides a comprehensive coverage of theory and methods in the areas of continuous optimization and variational inequality. It describes theory and solution methods for optimization with smooth and non-smooth functions, for variational inequalities with single-valued and multivalued mappings, and for related classes such as mixed variational inequalities, complementarity problems, and general equilibrium problems. The emphasis is made on revealing generic properties of these problems that allow creation of efficient solution methods. Salient Features The book presents a deep, wide-ranging introduction to the theory of the optimal control of processes governed by optimization techniques and variational inequality Several solution methods are provided which will help the reader to develop various optimization tools for real-life problems which can be modeled by optimization techniques involving linear and nonlinear functions. The book focuses on most recent contributions in the nonlinear phenomena, which can appear in various areas of human activities. This book also presents relevant mathematics clearly and simply to help solve real life problems in diverse fields such as mechanical engineering, management, control behavior, traffic signal, industry, etc. This book is aimed primarily at advanced undergraduates and graduate students pursuing computer engineering and electrical engineering courses. Researchers, academicians and industry people will also find this book useful.

Invexity and Optimization

Author : Shashi K. Mishra
Publisher : Springer
ISBN 13 : 9783540849285
Total Pages : 266 pages
Book Rating : 4.8/5 (492 download)

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Book Synopsis Invexity and Optimization by : Shashi K. Mishra

Download or read book Invexity and Optimization written by Shashi K. Mishra and published by Springer. This book was released on 2009-08-29 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases.

Dissertation Abstracts International

Author :
Publisher :
ISBN 13 :
Total Pages : 858 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2002 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1518 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1518 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Convexity, Generalized Monotonicity: Recent Results

Author : Jean-Pierre Crouzeix
Publisher : Springer Science & Business Media
ISBN 13 : 1461333415
Total Pages : 469 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Generalized Convexity, Generalized Monotonicity: Recent Results by : Jean-Pierre Crouzeix

Download or read book Generalized Convexity, Generalized Monotonicity: Recent Results written by Jean-Pierre Crouzeix and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: A function is convex if its epigraph is convex. This geometrical structure has very strong implications in terms of continuity and differentiability. Separation theorems lead to optimality conditions and duality for convex problems. A function is quasiconvex if its lower level sets are convex. Here again, the geo metrical structure of the level sets implies some continuity and differentiability properties for quasiconvex functions. Optimality conditions and duality can be derived for optimization problems involving such functions as well. Over a period of about fifty years, quasiconvex and other generalized convex functions have been considered in a variety of fields including economies, man agement science, engineering, probability and applied sciences in accordance with the need of particular applications. During the last twenty-five years, an increase of research activities in this field has been witnessed. More recently generalized monotonicity of maps has been studied. It relates to generalized convexity off unctions as monotonicity relates to convexity. Generalized monotonicity plays a role in variational inequality problems, complementarity problems and more generally, in equilibrium prob lems.

Generalized Concavity

Author : Mordecai Avriel
Publisher : SIAM
ISBN 13 : 0898718961
Total Pages : 342 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Generalized Concavity by : Mordecai Avriel

Download or read book Generalized Concavity written by Mordecai Avriel and published by SIAM. This book was released on 2010-11-25 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Plenum Press, 1988.

Operations Research in Development Sector

Author : Arabinda Tripathy
Publisher : Springer
ISBN 13 : 9811319545
Total Pages : 123 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Operations Research in Development Sector by : Arabinda Tripathy

Download or read book Operations Research in Development Sector written by Arabinda Tripathy and published by Springer. This book was released on 2018-08-28 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes the underlying theoretical principles of multi-objective linear programming problems with multi-choice parameters. It studies transportation problems on the same domain with extension to fuzzy stochastic criteria, and offers insights into sensitivity analysis through symmetric duality and complementarity using non-convex programming. These analytical presentations provide ample scope for researchers to contemplate real-world problems with an innovative vision. The formulation, analysis and solution procedures on inventory control models in the book use both deterministic and fuzzy parameters, and provide novel optimal inventory policies. The book discusses a wide range of optimal operational techniques for policy makers, government and private agencies in the fields of e-governance and agricultural crop insurance, which are crucial for developing countries. The recommendations address the gaps and remedies in various schemes that influence decision-making in the context of the economic development of such countries.

Generalized Convexity and Vector Optimization

Author : Shashi K. Mishra
Publisher : Springer Science & Business Media
ISBN 13 : 3540856714
Total Pages : 298 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Generalized Convexity and Vector Optimization by : Shashi K. Mishra

Download or read book Generalized Convexity and Vector Optimization written by Shashi K. Mishra and published by Springer Science & Business Media. This book was released on 2008-12-19 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present lecture note is dedicated to the study of the optimality conditions and the duality results for nonlinear vector optimization problems, in ?nite and in?nite dimensions. The problems include are nonlinear vector optimization problems, s- metric dual problems, continuous-time vector optimization problems, relationships between vector optimization and variational inequality problems. Nonlinear vector optimization problems arise in several contexts such as in the building and interpretation of economic models; the study of various technolo- cal processes; the development of optimal choices in ?nance; management science; production processes; transportation problems and statistical decisions, etc. In preparing this lecture note a special effort has been made to obtain a se- contained treatment of the subjects; so we hope that this may be a suitable source for a beginner in this fast growing area of research, a semester graduate course in nonlinear programing, and a good reference book. This book may be useful to theoretical economists, engineers, and applied researchers involved in this area of active research. The lecture note is divided into eight chapters: Chapter 1 brie?y deals with the notion of nonlinear programing problems with basic notations and preliminaries. Chapter 2 deals with various concepts of convex sets, convex functions, invex set, invex functions, quasiinvex functions, pseudoinvex functions, type I and generalized type I functions, V-invex functions, and univex functions.

Convex Functions and Optimization Methods on Riemannian Manifolds

Author : C. Udriste
Publisher : Springer Science & Business Media
ISBN 13 : 9401583900
Total Pages : 365 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Convex Functions and Optimization Methods on Riemannian Manifolds by : C. Udriste

Download or read book Convex Functions and Optimization Methods on Riemannian Manifolds written by C. Udriste and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this book is to present the basic facts of convex functions, standard dynamical systems, descent numerical algorithms and some computer programs on Riemannian manifolds in a form suitable for applied mathematicians, scientists and engineers. It contains mathematical information on these subjects and applications distributed in seven chapters whose topics are close to my own areas of research: Metric properties of Riemannian manifolds, First and second variations of the p-energy of a curve; Convex functions on Riemannian manifolds; Geometric examples of convex functions; Flows, convexity and energies; Semidefinite Hessians and applications; Minimization of functions on Riemannian manifolds. All the numerical algorithms, computer programs and the appendices (Riemannian convexity of functions f:R ~ R, Descent methods on the Poincare plane, Descent methods on the sphere, Completeness and convexity on Finsler manifolds) constitute an attempt to make accesible to all users of this book some basic computational techniques and implementation of geometric structures. To further aid the readers,this book also contains a part of the folklore about Riemannian geometry, convex functions and dynamical systems because it is unfortunately "nowhere" to be found in the same context; existing textbooks on convex functions on Euclidean spaces or on dynamical systems do not mention what happens in Riemannian geometry, while the papers dealing with Riemannian manifolds usually avoid discussing elementary facts. Usually a convex function on a Riemannian manifold is a real valued function whose restriction to every geodesic arc is convex.

Non-Connected Convexities and Applications

Author : G. Cristescu
Publisher : Springer Science & Business Media
ISBN 13 : 1461500036
Total Pages : 375 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Non-Connected Convexities and Applications by : G. Cristescu

Download or read book Non-Connected Convexities and Applications written by G. Cristescu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectori salutem! The kind reader opens the book that its authors would have liked to read it themselves, but it was not written yet. Then, their only choice was to write this book, to fill a gap in the mathematicalliterature. The idea of convexity has appeared in the human mind since the antiquity and its fertility has led to a huge diversity of notions and of applications. A student intending a thoroughgoing study of convexity has the sensation of swimming into an ocean. It is due to two reasons: the first one is the great number of properties and applications of the classical convexity and second one is the great number of generalisations for various purposes. As a consequence, a tendency of writing huge books guiding the reader in convexity appeared during the last twenty years (for example, the books of P. M. Gruber and J. M. Willis (1993) and R. J. Webster (1994)). Another last years' tendency is to order, from some point of view, as many convexity notions as possible (for example, the book of I. Singer (1997)). These approaches to the domain of convexity follow the previous point of view of axiomatizing it (A. Ghika (1955), W. Prenowitz (1961), D. Voiculescu (1967), V. W. Bryant and R. J. Webster (1969)). Following this last tendency, our book proposes to the reader two classifications of convexity properties for sets, both of them starting from the internal mechanism of defining them.

Generalized Convexity

Author : Sandor Komlosi
Publisher : Springer Science & Business Media
ISBN 13 : 3642468020
Total Pages : 406 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Generalized Convexity by : Sandor Komlosi

Download or read book Generalized Convexity written by Sandor Komlosi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalizations of the classical concept of a convex function have been proposed in various fields such as economics, management science, engineering, statistics and applied sciences during the second half of this century. In addition to new results in more established areas of generalized convexity, this book presents several important developments in recently emerging areas. Also, a number of interesting applications are reported.

Differential and Integral Inequalities

Author : Dorin Andrica
Publisher : Springer Nature
ISBN 13 : 3030274071
Total Pages : 848 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Differential and Integral Inequalities by : Dorin Andrica

Download or read book Differential and Integral Inequalities written by Dorin Andrica and published by Springer Nature. This book was released on 2019-11-14 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.

Analytic Inequalities

Author : Dragoslav S. Mitrinovic
Publisher : Springer Science & Business Media
ISBN 13 : 3642999700
Total Pages : 416 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Analytic Inequalities by : Dragoslav S. Mitrinovic

Download or read book Analytic Inequalities written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Inequalities began its development from the time when C. F. GACSS, A. L. CATCHY and P. L. CEBYSEY, to mention only the most important, laid the theoretical foundation for approximative meth ods. Around the end of the 19th and the beginning of the 20th century, numerous inequalities were proyed, some of which became classic, while most remained as isolated and unconnected results. It is almost generally acknowledged that the classic work "Inequali ties" by G. H. HARDY, J. E. LITTLEWOOD and G. POLYA, which appeared in 1934, transformed the field of inequalities from a collection of isolated formulas into a systematic discipline. The modern Theory of Inequalities, as well as the continuing and growing interest in this field, undoubtedly stem from this work. The second English edition of this book, published in 1952, was unchanged except for three appendices, totalling 10 pages, added at the end of the book. Today inequalities playa significant role in all fields of mathematics, and they present a very active and attractive field of research. J. DIEUDONNE, in his book "Calcullnfinitesimal" (Paris 1968), attri buted special significance to inequalities, adopting the method of exposi tion characterized by "majorer, minorer, approcher". Since 1934 a multitude of papers devoted to inequalities have been published: in some of them new inequalities were discovered, in others classical inequalities ,vere sharpened or extended, various inequalities ,vere linked by finding their common source, while some other papers gave a large number of miscellaneous applications.

Convex Functions and Their Applications

Author : Constantin P. Niculescu
Publisher : Springer
ISBN 13 : 3319783378
Total Pages : 415 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Convex Functions and Their Applications by : Constantin P. Niculescu

Download or read book Convex Functions and Their Applications written by Constantin P. Niculescu and published by Springer. This book was released on 2018-06-08 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

Models, Methods, Concepts & Applications of the Analytic Hierarchy Process

Author : Thomas L. Saaty
Publisher : Springer Science & Business Media
ISBN 13 : 1461435978
Total Pages : 342 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Models, Methods, Concepts & Applications of the Analytic Hierarchy Process by : Thomas L. Saaty

Download or read book Models, Methods, Concepts & Applications of the Analytic Hierarchy Process written by Thomas L. Saaty and published by Springer Science & Business Media. This book was released on 2012-04-11 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Analytic Hierarchy Process (AHP) is a prominent and powerful tool for making decisions in situations involving multiple objectives. Models, Methods, Concepts and Applications of the Analytic Hierarchy Process, 2nd Edition applies the AHP in order to solve problems focused on the following three themes: economics, the social sciences, and the linking of measurement with human values. For economists, the AHP offers a substantially different approach to dealing with economic problems through ratio scales. Psychologists and political scientists can use the methodology to quantify and derive measurements for intangibles. Meanwhile researchers in the physical and engineering sciences can apply the AHP methods to help resolve the conflicts between hard measurement data and human values. Throughout the book, each of these topics is explored utilizing real life models and examples, relevant to problems in today’s society. This new edition has been updated and includes five new chapters that includes discussions of the following: - The eigenvector and why it is necessary - A summary of ongoing research in the Middle East that brings together Israeli and Palestinian scholars to develop concessions from both parties - A look at the Medicare Crisis and how AHP can be used to understand the problems and help develop ideas to solve them.