Topological Methods for Set-valued Nonlinear Analysis
Publisher: World Scientific Publishing Company; World Scientific Publishing Co Pte Ltd
Published: August 30, 2008
Language: eng
Format: Hardcover
Number of pages: 700
ISBN-13: 9789812704672
Subjects: Analytic topology; Non-linear science; Functional Analysis; Topology - General; Mathematics; Science/Mathematics
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."--Jacket.