By E. Tarafdar, Mohammad S R Chowdhu
This ebook presents a entire evaluation of the authors pioneering contributions to nonlinear set-valued research via topological tools. The insurance contains fastened aspect idea, measure concept, the KKM precept, variational inequality concept, the Nash equilibrium aspect in mathematical economics, the Pareto optimal in optimization, and purposes to most sensible approximation concept, partial equations and boundary worth difficulties.
Self-contained and unified in presentation, the ebook considers the life of equilibrium issues of summary economics in topological vector areas from the perspective of Ky Fan minimax inequalities. It additionally offers the newest advancements in KKM conception and measure concept for nonlinear set-valued mappings.
Contents: Contraction Mappings; a few mounted aspect Theorems in Partial Ordered units; Topological mounted aspect Theorems; Variational and Quasivariational Inequalities in Topological Vector areas and Generalized video games; top Approximation and glued element Theorems for Set-Valued Mappings in Topological Vector areas; measure idea for Set-Valued Mappings; Nonexpansive varieties of Mappings and glued element Theorems in in the neighborhood Convex Topological Vector areas.