Minimax Theorems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461241464
Total Pages : 168 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Minimax Theorems by : Michel Willem

Download or read book Minimax Theorems written by Michel Willem and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many boundary value problems are equivalent to Au=O (1) where A : X --+ Y is a mapping between two Banach spaces. When the problem is variational, there exists a differentiable functional rand inf.

Minimax and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461335574
Total Pages : 300 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Minimax and Applications by : Ding-Zhu Du

Download or read book Minimax and Applications written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In general, a minimax problem can be formulated as min max f(x, y) (1) ",EX !lEY where f(x, y) is a function defined on the product of X and Y spaces. There are two basic issues regarding minimax problems: The first issue concerns the establishment of sufficient and necessary conditions for equality minmaxf(x,y) = maxminf(x,y). (2) "'EX !lEY !lEY "'EX The classical minimax theorem of von Neumann is a result of this type. Duality theory in linear and convex quadratic programming interprets minimax theory in a different way. The second issue concerns the establishment of sufficient and necessary conditions for values of the variables x and y that achieve the global minimax function value f(x*, y*) = minmaxf(x, y). (3) "'EX !lEY There are two developments in minimax theory that we would like to mention.

An Introduction to Minimax Theorems and Their Applications to Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1475733089
Total Pages : 279 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis An Introduction to Minimax Theorems and Their Applications to Differential Equations by : Maria do Rosário Grossinho

Download or read book An Introduction to Minimax Theorems and Their Applications to Differential Equations written by Maria do Rosário Grossinho and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended to be an introduction to critical point theory and its applications to differential equations. Although the related material can be found in other books, the authors of this volume have had the following goals in mind: To present a survey of existing minimax theorems, To give applications to elliptic differential equations in bounded domains, To consider the dual variational method for problems with continuous and discontinuous nonlinearities, To present some elements of critical point theory for locally Lipschitz functionals and give applications to fourth-order differential equations with discontinuous nonlinearities, To study homoclinic solutions of differential equations via the variational methods. The contents of the book consist of seven chapters, each one divided into several sections. Audience: Graduate and post-graduate students as well as specialists in the fields of differential equations, variational methods and optimization.

General Minimax Theorems

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Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis General Minimax Theorems by : Maurice Sion

Download or read book General Minimax Theorems written by Maurice Sion and published by . This book was released on 1957 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 146154064X
Total Pages : 320 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities by : Dumitru Motreanu

Download or read book Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities written by Dumitru Motreanu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary value problems which have variational expressions in form of inequal ities can be divided into two main classes. The class of boundary value prob lems (BVPs) leading to variational inequalities and the class of BVPs leading to hemivariational inequalities. The first class is related to convex energy functions and has being studied over the last forty years and the second class is related to nonconvex energy functions and has a shorter research "life" beginning with the works of the second author of the present book in the year 1981. Nevertheless a variety of important results have been produced within the framework of the theory of hemivariational inequalities and their numerical treatment, both in Mathematics and in Applied Sciences, especially in Engineering. It is worth noting that inequality problems, i. e. BVPs leading to variational or to hemivariational inequalities, have within a very short time had a remarkable and precipitate development in both Pure and Applied Mathematics, as well as in Mechanics and the Engineering Sciences, largely because of the possibility of applying and further developing new and efficient mathematical methods in this field, taken generally from convex and/or nonconvex Nonsmooth Analy sis. The evolution of these areas of Mathematics has facilitated the solution of many open questions in Applied Sciences generally, and also allowed the formu lation and the definitive mathematical and numerical study of new classes of interesting problems.

Minimax Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 940159113X
Total Pages : 278 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Minimax Theory and Applications by : Biagio Ricceri

Download or read book Minimax Theory and Applications written by Biagio Ricceri and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains the proceedings of the workshop on "Minimax Theory and Applications" that was held during the week 30 September - 6 October 1996 at the "G. Stampacchia" International School of Mathematics of the "E. Majorana" Centre for Scientific Cul ture in Erice (Italy) . The main theme of the workshop was minimax theory in its most classical meaning. That is to say, given a real-valued function f on a product space X x Y , one tries to find conditions that ensure the validity of the equality sup inf f(x,y) = inf sup f(x, y). yEY xEX xEX yEY This is not an appropriate place to enter into the technical details of the proofs of minimax theorems, or into the history of the contribu tions to the solution of this basic problem in the last 7 decades. But we do want to stress its intrinsic interest and point out that, in spite of its extremely simple formulation, it conceals a great wealth of ideas. This is clearly shown by the large variety of methods and tools that have been used to study it. The applications of minimax theory are also extremely interesting. In fact, the need for the ability to "switch quantifiers" arises in a seemingly boundless range of different situations. So, the good quality of a minimax theorem can also be judged by its applicability. We hope that this volume will offer a rather complete account of the state of the art of the subject.

Minimax Methods in Critical Point Theory with Applications to Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821807153
Total Pages : 110 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Minimax Methods in Critical Point Theory with Applications to Differential Equations by : Paul H. Rabinowitz

Download or read book Minimax Methods in Critical Point Theory with Applications to Differential Equations written by Paul H. Rabinowitz and published by American Mathematical Soc.. This book was released on 1986-07-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. An expanded version of the author's 1984 CBMS lectures, this volume is the first monograph devoted solely to these topics. Among the abstract questions considered are the following: the mountain pass and saddle point theorems, multiple critical points for functionals invariant under a group of symmetries, perturbations from symmetry, and variational methods in bifurcation theory. The book requires some background in functional analysis and differential equations, especially elliptic partial differential equations. It is addressed to mathematicians interested in differential equations and/or nonlinear functional analysis, particularly critical point theory.

Mathematical Statistics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852833
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Statistics by : Aleksandr Petrovich Korostelev

Download or read book Mathematical Statistics written by Aleksandr Petrovich Korostelev and published by American Mathematical Soc.. This book was released on 2011 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: iPositive Give a man a fish, he eats for a day, but if you teach him to fish, you feed him for life. Such is the approach of iPositive. One day at the gym doesnt make a person fit for life; its a consistent dedication to getting the body in shape that eventually yields results. The lessons in iPositive work in much the same way: They challenge the reader to work to keep the mind in shape. The book is a powerful guide to personal happiness through positivity. Its concepts provide empowerment to overcome self-doubt, disbelief and inferiority complexes in order to transcend the negativity in life. iPositive is geared toward helping individuals become more focused on the things they most want in life, like happiness, love and success, or banish anchors that may be weighting them down, like stress, smoking or excess weight. The book gives readers the practical means to become more focused on those things they want in life, and serves as an inspirational manual for a life of fulfillment, and strength in body, mind and spirit.

Topics on Perfect Graphs

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Publisher : Elsevier
ISBN 13 : 9780080871998
Total Pages : 366 pages
Book Rating : 4.8/5 (719 download)

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Book Synopsis Topics on Perfect Graphs by : V. Chvátal

Download or read book Topics on Perfect Graphs written by V. Chvátal and published by Elsevier. This book was released on 1984-11-01 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present selected results on perfect graphs in a single volume. These take the form of reprinted classical papers, survey papers or new results.

Pareto Optimality, Game Theory and Equilibria

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Publisher : Springer Science & Business Media
ISBN 13 : 0387772472
Total Pages : 872 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Pareto Optimality, Game Theory and Equilibria by : Panos M. Pardalos

Download or read book Pareto Optimality, Game Theory and Equilibria written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2008-07-02 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.

Introduction to Minimax

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Publisher : Courier Corporation
ISBN 13 : 0486793281
Total Pages : 320 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Introduction to Minimax by : V. F. Dem’yanov

Download or read book Introduction to Minimax written by V. F. Dem’yanov and published by Courier Corporation. This book was released on 2014-03-05 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward students of mathematical programming, this user-friendly text offers a thorough introduction to the part of optimization theory that lies between approximation theory and mathematical programming. 37 illustrations. 1974 edition.

Vector Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540212898
Total Pages : 324 pages
Book Rating : 4.2/5 (128 download)

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Book Synopsis Vector Optimization by : Guang-ya Chen

Download or read book Vector Optimization written by Guang-ya Chen and published by Springer Science & Business Media. This book was released on 2005-07-13 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to vector or multiple criteria approaches in optimization. Topics covered include: vector optimization, vector variational inequalities, vector variational principles, vector minmax inequalities and vector equilibrium problems. In particular, problems with variable ordering relations and set-valued mappings are treated. The nonlinear scalarization method is extensively used throughout the book to deal with various vector-related problems. The results presented are original and should be interesting to researchers and graduates in applied mathematics and operations research. Readers will benefit from new methods and ideas for handling multiple criteria decision problems.

Encyclopedia of Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Advances in Multiple Objective and Goal Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 3642468543
Total Pages : 396 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Advances in Multiple Objective and Goal Programming by : Rafael Caballero

Download or read book Advances in Multiple Objective and Goal Programming written by Rafael Caballero and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the field of multiple criteria decision making, this volume covers the latest advances in multiple objective and goal programming as presented at the 2nd International Conference on Multi-Objective Programming and Goal Programming, Torremolinos, Spain, May 16 - 18, 1996. The book is an undispensable source of the latest research results, presented by the leading experts of the field.

Fixed Point Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 038721593X
Total Pages : 706 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Fixed Point Theory by : Andrzej Granas

Download or read book Fixed Point Theory written by Andrzej Granas and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Fixed Points is one of the most powerful tools of modern mathematics. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications. From the reviews: "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." --MATHEMATICAL REVIEWS

Foundations of Game Theory

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Publisher : Birkhäuser
ISBN 13 : 3034885148
Total Pages : 501 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Foundations of Game Theory by : Nicolai N. Vorob'ev

Download or read book Foundations of Game Theory written by Nicolai N. Vorob'ev and published by Birkhäuser. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The English edition differs only slightly from the Russian original. The main struc tural difference is that all the material on the theory of finite noncooperative games has been collected in Chapter 2, with renumbering of the material of the remain ing chapters. New sections have been added in this chapter: devoted to general questions of equilibrium theory in nondegenerate games, subsections 3.9-3.17, by N.N. Vorob'ev, Jr.; and § 4, by A.G. Chernyakov; and § 5, by N.N. Vorob'ev, Jr., on the computational complexity of the process of finding equilibrium points in finite games. It should also be mentioned that subsections 3.12-3.14 in Chapter 1 were written by E.B. Yanovskaya especially for the Russian edition. The author regrets that the present edition does not reflect the important game-theoretical achievements presented in the splendid monographs by E. van Damme (on the refinement of equilibrium principles for finite games), as well as those by J.e. Harsanyi and R. Selten, and by W. Giith and B. Kalkofen (on equilibrium selection). When the Russian edition was being written, these direc tions in game theory had not yet attained their final form, which appeared only in quite recent monographs; the present author has had to resist the temptation of attempting to produce an elementary exposition of the new theories for the English edition; readers of this edition will find only brief mention of the new material.

Statistical Decision Theory and Bayesian Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 147574286X
Total Pages : 633 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Statistical Decision Theory and Bayesian Analysis by : James O. Berger

Download or read book Statistical Decision Theory and Bayesian Analysis written by James O. Berger and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new edition the author has added substantial material on Bayesian analysis, including lengthy new sections on such important topics as empirical and hierarchical Bayes analysis, Bayesian calculation, Bayesian communication, and group decision making. With these changes, the book can be used as a self-contained introduction to Bayesian analysis. In addition, much of the decision-theoretic portion of the text was updated, including new sections covering such modern topics as minimax multivariate (Stein) estimation.