Topological Methods For Set-valued Nonlinear Analysis

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A01=Enayet U Tarafdar
A01=Mohammad S R Chowdhury
Author_Enayet U Tarafdar
Author_Mohammad S R Chowdhury
Category=PBPH
Category=PBWR
Degree Theory
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Fixed Point Theory
KKM Principle
Minimax Inequality
Nonlinear Analysis
Set-Valued Analysis
Topological Method
Variational Inequality

Product details

  • ISBN 9789812704672
  • Publication Date: 25 Feb 2008
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems.Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.

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