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Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics and also has many applications in optimization, economics and engineering. The study of variational inequalities is another domain of applied mathematics with many applications to the study of certain problems with unilateral conditions. This book is the first to discuss complementarity theory and variational inequalities using Leray–Schauder type alternatives. The ideas and method presented in this book may be considered as a starting point for new developments. Audience This book is intended for researchers and advanced graduate students in optimization, applied nonlinear analysis, complementarity theory, the theory of variational inequalities, and operations research.

Nonlinear operators. --- Fixed point theory. --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Operators, Nonlinear --- Operator theory --- Mathematical optimization. --- Functional analysis. --- Mathematics. --- Optimization. --- Functional Analysis. --- Applications of Mathematics. --- Game Theory, Economics, Social and Behav. Sciences. --- Math --- Science --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Applied mathematics. --- Engineering mathematics. --- Game theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Engineering --- Engineering analysis