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Author : Shu-Cherng Fang
Publisher :
ISBN 13 :
Total Pages : 61 pages
Book Rating : 4.:/5 (122 download)
Download or read book Generalized Complementarity, Variational Inequality and Fixed Point Problems written by Shu-Cherng Fang and published by . This book was released on 1979 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Qamrul Hasan Ansari
Publisher : CRC Press
ISBN 13 : 1439868204
Total Pages : 298 pages
Book Rating : 4.4/5 (398 download)
Download or read book Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization written by Qamrul Hasan Ansari and published by CRC Press. This book was released on 2013-07-18 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction. The first part of the book focuses on generalized convexity and generalized monotonicity. The authors investigate convexity and generalized convexity for both the differentiable and nondifferentiable case. For the nondifferentiable case, they introduce the concepts in terms of a bifunction and the Clarke subdifferential. The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. The book discusses existence and uniqueness criteria for a variational inequality, the gap function associated with it, and numerical methods to solve it. It also examines characterizations of a solution set of an optimization problem and explores variational inequalities defined by a bifunction and set-valued version given in terms of the Clarke subdifferential. Integrating results on convexity, monotonicity, and variational inequalities into one unified source, this book deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The book shows how variational inequality theory not only serves as a tool for formulating a variety of equilibrium problems, but also provides algorithms for computational purposes.
Author : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.F/5 ( download)
Download or read book Basic Theorem of Complementarity for the Generalized Variational-like Inequality Problem written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1989 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.F/5 ( download)
Download or read book Generalized Quasi-variational Inequality and Implicit Complementarity Problems written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1989 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael C. Ferris
Publisher : SIAM
ISBN 13 : 9780898713916
Total Pages : 494 pages
Book Rating : 4.7/5 (139 download)
Download or read book Complementarity and Variational Problems written by Michael C. Ferris and published by SIAM. This book was released on 1997-01-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: After more than three decades of research, the subject of complementarity problems and its numerous extensions has become a well-established and fruitful discipline within mathematical programming and applied mathematics. Sources of these problems are diverse and span numerous areas in engineering, economics, and the sciences. Includes refereed articles.
Author : Sandor Komlosi
Publisher : Springer Science & Business Media
ISBN 13 : 3642468020
Total Pages : 406 pages
Book Rating : 4.6/5 (424 download)
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.
Author : George Isac
Publisher : Springer
ISBN 13 : 3540474919
Total Pages : 305 pages
Book Rating : 4.5/5 (44 download)
Download or read book Complementarity Problems written by George Isac and published by Springer. This book was released on 2006-11-15 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of complementarity problems is now an interesting mathematical subject with many applications in optimization, game theory, stochastic optimal control, engineering, economics etc. This subject has deep relations with important domains of fundamental mathematics such as fixed point theory, ordered spaces, nonlinear analysis, topological degree, the study of variational inequalities and also with mathematical modeling and numerical analysis. Researchers and graduate students interested in mathematical modeling or nonlinear analysis will find here interesting and fascinating results.
Author : Francisco Facchinei
Publisher : Springer Science & Business Media
ISBN 13 : 0387218157
Total Pages : 698 pages
Book Rating : 4.3/5 (872 download)
Download or read book Finite-Dimensional Variational Inequalities and Complementarity Problems written by Francisco Facchinei and published by Springer Science & Business Media. This book was released on 2007-06-04 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part two of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It details algorithms for solving finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.
Author : Dorin Andrica
Publisher : Springer Nature
ISBN 13 : 3030274071
Total Pages : 848 pages
Book Rating : 4.0/5 (32 download)
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.
Author : Yeol Je Cho
Publisher : Nova Publishers
ISBN 13 : 9781590332160
Total Pages : 240 pages
Book Rating : 4.3/5 (321 download)
Download or read book Fixed Point Theory and Applications written by Yeol Je Cho and published by Nova Publishers. This book was released on 2002 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to introduce recent new topics in the areas of fixed point theory, variational inequality and complementarity problem theory, non-linear ergodic theory difference, differential and integral equations, control and optimisation theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications.
Author : George Isac
Publisher : Springer Science & Business Media
ISBN 13 : 0387329005
Total Pages : 346 pages
Book Rating : 4.3/5 (873 download)
Download or read book Leray–Schauder Type Alternatives, Complementarity Problems and Variational Inequalities written by George Isac and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to discuss complementarity theory and variational inequalities using Leray–Schauder type alternatives. Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics. The ideas and method presented in this book may be considered as a starting point for new developments. The book presents a new kind of application for the Leray–Schauder principle.
Author : Jen-Chih Yao
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (227 download)
Download or read book A Basic Theorem of Complementarity for the Generalized Variational-Like Inequality Problem written by Jen-Chih Yao and published by . This book was released on 1989 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this report, a basic theorem of complementarity is established for the generalized variational-like inequality problem introduced by Parida and Sen. Some existence results for both generalized variational inequality and complementarity problems are established by employing this basic theorem of complementarity. In particular, some sets of conditions that are normally satisfied by a nonsolvable generalized complementarity problem are investigated. (kr).
Author : Richard W. Cottle
Publisher : SIAM
ISBN 13 : 0898716861
Total Pages : 781 pages
Book Rating : 4.8/5 (987 download)
Download or read book The Linear Complementarity Problem written by Richard W. Cottle and published by SIAM. This book was released on 2009-08-27 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised edition of the standard reference on the linear complementarity problem.
Author : Michael Patriksson
Publisher : Springer Science & Business Media
ISBN 13 : 147572991X
Total Pages : 343 pages
Book Rating : 4.4/5 (757 download)
Download or read book Nonlinear Programming and Variational Inequality Problems written by Michael Patriksson and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since I started working in the area of nonlinear programming and, later on, variational inequality problems, I have frequently been surprised to find that many algorithms, however scattered in numerous journals, monographs and books, and described rather differently, are closely related to each other. This book is meant to help the reader understand and relate algorithms to each other in some intuitive fashion, and represents, in this respect, a consolidation of the field. The framework of algorithms presented in this book is called Cost Approxi mation. (The preface of the Ph.D. thesis [Pat93d] explains the background to the work that lead to the thesis, and ultimately to this book.) It describes, for a given formulation of a variational inequality or nonlinear programming problem, an algorithm by means of approximating mappings and problems, a principle for the update of the iteration points, and a merit function which guides and monitors the convergence of the algorithm. One purpose of this book is to offer this framework as an intuitively appeal ing tool for describing an algorithm. One of the advantages of the framework, or any reasonable framework for that matter, is that two algorithms may be easily related and compared through its use. This framework is particular in that it covers a vast number of methods, while still being fairly detailed; the level of abstraction is in fact the same as that of the original problem statement.
Author : F. Giannessi
Publisher : Springer Science & Business Media
ISBN 13 : 0306480263
Total Pages : 304 pages
Book Rating : 4.3/5 (64 download)
Download or read book Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models written by F. Giannessi and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases. The book shows how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a powerful methodology, by which existence and calculation of the solution can be obtained.
Author : Jean-Pierre Crouzeix
Publisher : Springer Science & Business Media
ISBN 13 : 1461333415
Total Pages : 469 pages
Book Rating : 4.4/5 (613 download)
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.
Author : G. Isac
Publisher : Springer Science & Business Media
ISBN 13 : 1475731418
Total Pages : 691 pages
Book Rating : 4.4/5 (757 download)
Download or read book Topological Methods in Complementarity Theory written by G. Isac and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complementarity theory is a new domain in applied mathematics and is concerned with the study of complementarity problems. These problems represent a wide class of mathematical models related to optimization, game theory, economic engineering, mechanics, fluid mechanics, stochastic optimal control etc. The book is dedicated to the study of nonlinear complementarity problems by topological methods. Audience: Mathematicians, engineers, economists, specialists working in operations research and anybody interested in applied mathematics or in mathematical modeling.
