9789812704672
Topological methods for set-valued nonlinear analysis.
Tarafdar, Enayet and Mohammad S.R. Chowdhury.
World Scientific
2008
612 pages
$108.00
Hardcover
QA321
Tarafdar (late, mathematics, U. of Queensland) and Chowdhury
(mathematics, Lahore U. of Management Sciences) have pioneered this
approach that employs analysis, topology and geometry, and here they
provide a comprehensive overview that covers a range of theories and
applications. Their topics include contraction mappings, fixed point
theorems in partially ordered sets, topological fixed point theorems,
variational and quasivariational inequalities in topological vectors
spaces and generalized games, best approximations and fixed point
theorems for set-valued mappings in topological vector spaces, degree
theories for set-valued mappings, and nonexpansive types of mappings and
fixed-point theorems in locally convex topological vector spaces.
Throughout they consider various aspects of fixed points, minimax
inequalities, end points, variational inequalities, equilibrium analysis
in economics and related topics, the result being remarkably balanced in
theory and application. Their bibliography is very comprehensive and
they provide a subject index.
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