Science/Engineering Topological Methods For Set-Valued Nonlinear Analysis (9812704671)

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Topological Methods For Set-Valued Nonlinear Analysis

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.

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.

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	Science/Engineering Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics Zvyagin, Victor G. “Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics" Walter de Gruyter \| 2008-06-17 \| ISBN: 3110202220 \| 230 pages \| PDF \| 1,2 MB The authors present functional analytical methods ...
	Science/Engineering Methods of Nonlinear Analysis: Applications to Differential Equations Pavel Drábek, Jaroslav Milota "Methods of Nonlinear Analysis: Applications to Differential Equations" Birkhäuser Basel \| 2007-06-28 \| ISBN: 3764381469 \| 568 pages \| PDF \| 5,1 MB Designed as textbook for advanced undergraduate and grad ...
	Science/Engineering Topological Spaces: Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity Claude Berge, "Topological Spaces: Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity"Dover Publications \| 1997-07-01 \| ISBN: 0486696537 \| 284 pages \| PDF \| 7,4 MBExcellent study of sets in topological spaces and t ...
	Science/Engineering Methods in Nonlinear Analysis Methods in Nonlinear AnalysisPublisher: Springer \| 442 pages \| September 29, 2005 \| ISBN 3540241337 \| PDF \| 3 MBNonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches ...
	Variational and Topological Methods in the Study of Nonlinear Phenomena V. Benci, G. Cerami, M. Degiovanni, D. Fortunato, F. Giannoni, A.M. Micheletti "Variational and Topological Methods in the Study of Nonlinear Phenomena (Progress in Nonlinear Differential Equations and Their Applications)"Birkhäuser Boston ...
	Mathematics Nonlinear Programming Analysis and Methods Author: Mordecai AvrielPublisher: Prentice HallISBN: 0136236030This overview provides a single-volume treatment of key algorithms and theories. Begins with the derivation of optimality conditions and discussions of convex programming, duali ...

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