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. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
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