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This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. It begins with a discussion of some simple examples of the order-theoretic fixed point results along with simple applications from each of the diverse fields. The fixed point theory is then developed and preliminary results on multi-valued variational inequalities regarding the topological and order-theoretical structure of solution sets are covered. This is followed by more advanced material which demonstrates the power of the developed fixed point theory. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given in an appendix chapter to make the book self-contained. Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.

Differential equations, Partial -- Congresses. --- Economics, Mathematical. --- Fixed point theory -- Congresses. --- Functional analysis -- Congresses. --- Game theory. --- Global analysis (Mathematics). --- Mappings (Mathematics). --- Game theory --- Economics, Mathematical --- Global analysis (Mathematics) --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Mathematics --- Algebra --- Mathematics. --- Math --- Analysis, Global (Mathematics) --- Economics --- Mathematical economics --- Mathematical analysis. --- Analysis (Mathematics). --- Economic theory. --- Analysis. --- Game Theory, Economics, Social and Behav. Sciences. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Science --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Econometrics --- Methodology --- Economic theory --- Political economy --- Social sciences --- Economic man --- Games, Theory of --- Theory of games --- Mathematical models --- 517.1 Mathematical analysis --- Mathematical analysis

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Mathematical analysis --- Operational research. Game theory --- analyse (wiskunde) --- speltheorie

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