Minimax and Applications

Minimax and Applications
Author :
Publisher : Springer Science & Business Media
Total Pages : 300
Release :
ISBN-10 : 9781461335573
ISBN-13 : 1461335574
Rating : 4/5 (574 Downloads)

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.


Minimax and Applications Related Books

Minimax and Applications
Language: en
Pages: 300
Authors: Ding-Zhu Du
Categories: Computers
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

GET EBOOK

Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In gen
Minimax Theorems
Language: en
Pages: 168
Authors: Michel Willem
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

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
Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
Language: en
Pages: 320
Authors: Dumitru Motreanu
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

GET EBOOK

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
Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
Language: en
Pages: 332
Authors: Dumitru Motreanu
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: Springer Science & Business Media

GET EBOOK

The present book is the first ever published in which a new type of eigenvalue problem is studied, one that is very useful for applications: eigenvalue problems
Minimax Methods in Critical Point Theory with Applications to Differential Equations
Language: en
Pages: 110
Authors: Paul H. Rabinowitz
Categories: Mathematics
Type: BOOK - Published: 1986-07-01 - Publisher: American Mathematical Soc.

GET EBOOK

The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. A