Minimax and Applications PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Minimax and Applications PDF full book. Access full book title Minimax and Applications by Ding-Zhu Du. Download full books in PDF and EPUB format.
Author: Ding-Zhu Du
Publisher: Springer Science & Business Media
ISBN: 1461335574
Category : Computers
Languages : en
Pages : 300
Get Book Here
Book Description
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.
Author: Ding-Zhu Du
Publisher: Springer Science & Business Media
ISBN: 1461335574
Category : Computers
Languages : en
Pages : 300
Get Book Here
Book Description
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.
Author: Paul H. Rabinowitz
Publisher: American Mathematical Soc.
ISBN: 0821807153
Category : Mathematics
Languages : en
Pages : 110
Get Book Here
Book Description
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.
Author: Michel Willem
Publisher: Springer Science & Business Media
ISBN: 1461241464
Category : Mathematics
Languages : en
Pages : 168
Get Book Here
Book Description
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.
Author: Haim Brézis
Publisher:
ISBN: 9781571461094
Category : Chebyshev approximation
Languages : en
Pages : 0
Get Book Here
Book Description
This volume contains both survey and creative papers dealing with Morse theory, minimax theory, iteration theory of Maslov-type index and critical minimization problems. The book particularly emphasizes applications to nonlinear differential equations.
Author: Aleksandr Petrovich Korostelev
Publisher: American Mathematical Soc.
ISBN: 0821852833
Category : Mathematics
Languages : en
Pages : 258
Get Book Here
Book Description
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.
Author: Kim C. Border
Publisher: Cambridge University Press
ISBN: 9780521388085
Category : Business & Economics
Languages : en
Pages : 144
Get Book Here
Book Description
This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.
Author: Frank C. Zagare
Publisher: SAGE
ISBN: 9780803920507
Category : Mathematics
Languages : en
Pages : 100
Get Book Here
Book Description
Professor Zagare provides methods for analysing the structure of the game; considers zero and nonzero-sum games and the fundamental 'minimax theorem'; and investigates games with more than two players, including the possibility of coalitions between players.
Author: George Xian-Zhi Yuan
Publisher: CRC Press
ISBN: 9780824700317
Category : Mathematics
Languages : en
Pages : 648
Get Book Here
Book Description
This reference provides a lucid introduction to the principles and applications of Knaster-Kuratowski-Mazurkiewicz (KKM) theory and explores related topics in nonlinear set-valued analysis.
Author: R. A. Cuninghame-Green
Publisher: Springer Science & Business Media
ISBN: 3642487084
Category : Business & Economics
Languages : en
Pages : 273
Get Book Here
Book Description
A number of different problems of interest to the operational researcher and the mathematical economist - for example, certain problems of optimization on graphs and networks, of machine-scheduling, of convex analysis and of approx imation theory - can be formulated in a convenient way using the algebraic structure (R,$,@) where we may think of R as the (extended) real-number system with the binary combining operations x$y, x®y defined to be max(x,y),(x+y) respectively. The use of this algebraic structure gives these problems the character of problems of linear algebra, or linear operator theory. This fact hB.s been independently discovered by a number of people working in various fields and in different notations, and the starting-point for the present Lecture Notes was the writer's persuasion that the time had arrived to present a unified account of the algebra of linear transformations of spaces of n-tuples over (R,$,®),to demonstrate its relevance to operational research and to give solutions to the standard linear-algebraic problems which arise - e.g. the solution of linear equations exactly or approximately, the eigenvector eigenvalue problem andso on.Some of this material contains results of hitherto unpublished research carried out by the writer during the years 1970-1977.
Author: Wenming Zou
Publisher: Springer Science & Business Media
ISBN: 0387329684
Category : Mathematics
Languages : en
Pages : 323
Get Book Here
Book Description
This book presents some of the latest research in critical point theory, describing methods and presenting the newest applications. Coverage includes extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. Applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations.
