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Operator theory --- Fixed point theory --- Topology --- Functional analysis --- Congresses --- Fixed point theory - Congresses --- Topology - Congresses --- Functional analysis - Congresses

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Differential geometry. Global analysis --- 517.98 --- Functional analysis and operator theory --- 517.98 Functional analysis and operator theory --- Fixed point theory --- Topological dynamics --- Dynamics, Topological --- Differentiable dynamical systems --- Congresses --- Topological dynamics - Congresses --- Fixed point theory - Congresses

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Nonlinear functional analysis --- Fixed point theory --- Congresses --- Équations --- Théories non linéaires --- Degré topologique --- Equations --- Nonlinear theories --- Topological degree --- Analyse fonctionnelle non linéaire --- Équations --- Théories non linéaires --- Degré topologique --- Analyse fonctionnelle non linéaire. --- Équations. --- Théories non linéaires. --- Degré topologique. --- Nonlinear functional analysis - Congresses --- Fixed point theory - Congresses --- Équations. --- Théories non linéaires. --- Degré topologique.

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Algebraic topology --- Fixed point theory --- Congresses --- -Fixed point theory --- -517.988 --- 519.6 --- 681.3*G1 --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Topology --- Nonlinear functional analysis and approximation methods --- Computational mathematics. Numerical analysis. Computer programming --- Numerical analysis --- 681.3*G1 Numerical analysis --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.988 Nonlinear functional analysis and approximation methods --- 517.988 --- Algebraic topology - Congresses --- Fixed point theory - Congresses

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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