Topological Methods for Set-valued Nonlinear Analysis

Released on by Enayet Ullah Tarafdar
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  • Topological Methods for Set-valued Nonlinear Analysis Book Detail

  • Author : Enayet Ullah Tarafdar
  • Release Date : 2008
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 627
  • ISBN 13 : 9812791469
  • File Size : 8,8 MB
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Topological Methods for Set-valued Nonlinear Analysis by Enayet Ullah Tarafdar PDF Summary

Book Description: 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. Sample Chapter(s). Chapter 1: Introduction (162 KB). Contents: Contraction Mappings; Some Fixed Point Theorems in Partial Ordered Sets; Topological Fixed Point Theorems; Variational and Quasivariational Inequalities in Topological Vector Spaces and Generalized Games; Best Approximation and Fixed Point Theorems for Set-Valued Mappings in Topological Vector Spaces; Degree Theory for Set-Valued Mappings; Nonexpansive Types of Mappings and Fixed Point Theorems in Locally Convex Topological Vector Spaces. Readership: Graduate students and researchers in mathematics, economics, finance and engineering.

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