| Preface | p. vii |
| Introduction | p. 1 |
| Contraction Mappings | p. 9 |
| Contraction Mapping Principle in Uniform Topological Spaces and Applications | p. 9 |
| Banach Contraction Mapping Principle in Uniform Spaces | p. 10 |
| Successive Approximation | p. 14 |
| Further Generalization of Banach Contraction Mapping Principle | p. 27 |
| Fixed Point Theorems for Some Extension of Contraction Mappings on Uniform Spaces | p. 28 |
| An Interplay Between the Order and Pseudometric Partial Ordering in Complete Uniform Topological Space | p. 32 |
| Changing Norm | p. 34 |
| Changing the Norm | p. 38 |
| On the Approximate Iteration | p. 43 |
| The Contraction Mapping Principle Applied to the Cauchy-Kowalevsky Theorem | p. 44 |
| Geometric Preliminaries | p. 45 |
| The Linear Problem | p. 46 |
| The Quasilinear Problem | p. 50 |
| An Implicit Function Theorem for a Set of Mappings and Its Application to Nonlinear Hyperbolic Boundary Value Problem as Application of Contraction Mapping Principle | p. 53 |
| An Implicit Function Theorem for a Set of Mappings | p. 55 |
| Notations and Preliminaries | p. 60 |
| Results of Smiley on Linear Problem | p. 61 |
| Alternative Problem and Approximate Equations | p. 66 |
| Application to Nonlinear Wave Equations - A Theorem of Paul Rabinowitz | p. 73 |
| Set-Valued Contractions | p. 83 |
| End Points | p. 88 |
| Iterated Function Systems (IFS) and Attractor | p. 91 |
| Applications | p. 94 |
| Large Contractions | p. 103 |
| Large Contractions | p. 104 |
| The Transformation | p. 105 |
| An Existence Theorem | p. 106 |
| Random Fixed Point and Set-Valued Random Contraction | p. 107 |
| Some Fixed Point Theorems in Partially Ordered Sets | p. 113 |
| Fixed Point Theorems and Applications to Economics | p. 113 |
| Fixed Point Theorem on Partially Ordered Sets | p. 113 |
| Applications to Games and Economics | p. 116 |
| Game | p. 117 |
| Economy | p. 118 |
| Pareto Optimum | p. 119 |
| The Contraction Mapping Principle in Uniform Space via Kleene's Fixed Point Theorem | p. 120 |
| Applications on Double Ranked Sequence | p. 124 |
| Lattice Theoretical Fixed Point Theorems of Tarski | p. 125 |
| Applications of Lattice Fixed Point Theorem of Tarski to Integral Equations | p. 131 |
| The Tarski-Kantorovitch Principle | p. 134 |
| The Iterated Function Systems on (2[superscript X], [superset or implies]) | p. 136 |
| The Iterated Function Systems on (C(X), [superset or implies]) | p. 139 |
| The Iterated Function System on (K(X), [superset or implies]) | p. 141 |
| Continuity of Maps on Countably Compact and Sequential Spaces | p. 142 |
| Solutions of Impulsive Differential Equations | p. 146 |
| A Comparison Result | p. 147 |
| Periodic Solutions | p. 149 |
| Topological Fixed Point Theorems | p. 151 |
| Brouwer Fixed Point Theorem | p. 151 |
| Schauder Projection | p. 160 |
| Fixed Point Theorems of Set Valued Mappings with Applications in Abstract Economy | p. 162 |
| Applications | p. 167 |
| Equilibrium Point of Abstract Economy | p. 169 |
| Fixed Point Theorems and KKM Theorems | p. 171 |
| Duality in Fixed Point Theory of Set Valued Mappings | p. 174 |
| Applications on Minimax Principles | p. 177 |
| Applications on Sets with Convex Sections | p. 179 |
| More on Sets with Convex Sections | p. 182 |
| More on the Extension of KKM Theorem and Ky Fan's Minimax Principle | p. 190 |
| A Fixed Point Theorem Equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz Theorem | p. 195 |
| More on Fixed Point Theorems | p. 200 |
| Applications of Fixed Point Theorems to Equilibrium Analysis in Mathematical Economics and Game Theory | p. 206 |
| Fixed Point and Equilibrium Point | p. 207 |
| Existence of Maximal Elements | p. 211 |
| Equilibrium Existence Theorems | p. 213 |
| Fixed Point of [psi]-Condensing Mapping, Maximal Elements and Equilibria | p. 224 |
| Equilibrium on Paracompact Spaces | p. 237 |
| Equilibria of Generalized Games | p. 240 |
| Applications | p. 243 |
| Coincidence Points and Related Results, an Analysis on H-Spaces | p. 244 |
| Applications to Mathematical Economics: An Analogue of Debreu's Social Equilibrium Existence Theorem | p. 261 |
| Variational and Quasivariational Inequalities in Topological Vector Spaces and Generalized Games | p. 265 |
| Simultaneous Variational Inequalities | p. 265 |
| Variational Inequalities for Single Valued Functions | p. 265 |
| Solutions of Simultaneous Nonlinear Variational Inequalities | p. 268 |
| Application to Nonlinear Boundary Value Problem for Quasilinear Operator of Order 2m in Generalized Divergence Form | p. 276 |
| Minimization Problems and Related Results | p. 280 |
| Extension of a Karamardian Theorem | p. 282 |
| Variational Inequalities for Setvalued Mappings | p. 284 |
| Simultaneous Variational Inequalities | p. 287 |
| Implicit Variational Inequalities - The Monotone Case | p. 292 |
| Implicit Variational Inequalities - The USC Case | p. 296 |
| Variational Inequalities and Applications | p. 301 |
| Application to Minimization Problems | p. 304 |
| Duality in Variational Inequalities | p. 306 |
| Some Auxiliary Results | p. 309 |
| A Variational Inequality in Non-Compact Sets with Some Applications | p. 312 |
| Browder-Hartman-Stampacchia Variational Inequalities for Set-Valued Monotone Operators | p. 321 |
| A Minimax Inequality | p. 321 |
| An Existence Theorem of Variational Inequalities | p. 322 |
| Some Generalized Variational Inequalities with Their Applications | p. 325 |
| Some Generalized Variational Inequalities | p. 325 |
| Applications to Minimization Problems | p. 333 |
| Some Results of Tarafdar and Yuan on Generalized Variational Inequalities in Locally Convex Topological Vector Spaces | p. 335 |
| Some Generalized Variational Inequalities | p. 337 |
| Generalized Variational Inequalities for Quasi-Monotone and Quasi-Semi-Monotone Operators | p. 340 |
| Generalization of Ky Fan's Minimax Inequality | p. 346 |
| Generalized Variational Inequalities | p. 348 |
| Fixed Point Theorems | p. 358 |
| Generalization of Ky Fan's Minimax Inequality with Applications to Generalized Variational Inequalities for Pseudo-Monotone Type I Operators and Fixed Point Theorems | p. 363 |
| Generalization of Ky Fan's Minimax Inequality | p. 365 |
| Generalized Variational Inequalities | p. 372 |
| Applications to Fixed Point Theorems | p. 377 |
| Generalized Variational-Like Inequalities for Pseudo-Monotone Type I Operators | p. 379 |
| Existence Theorems for GV LI(T, [eta], h, X, F) | p. 383 |
| Generalized Quasi-Variational Inequalities | p. 388 |
| Generalized Quasi-Variational Inequalities for Monotone and Lower Semi-Continuous Mappings | p. 388 |
| Generalized Quasi-Variational Inequalities for Upper Semi-Continuous Mappings Without Monotonicity | p. 393 |
| Generalized Quasi-Variational Inequalities for Lower and Upper Hemi-Continuous Operators on Non-Compact Sets | p. 397 |
| Generalized Quasi-Variational Inequalities for Lower Hemi-Continuous Operators | p. 398 |
| Generalized Quasi-Variational Inequalities for Upper Hemi-Continuous Operators | p. 404 |
| Generalized Quasi-Variational Inequalities for Upper Semi-Continuous Operators on Non-Compact Sets | p. 409 |
| Non-Compact Generalized Quasi-Variational Inequalities | p. 410 |
| Generalized Quasi-Variational Inequalities for Pseudo-Monotone Set-Valued Mappings | p. 415 |
| Generalized Quasi-Variational Inequalities for Strong Pseudo-Monotone Operators | p. 415 |
| Generalized Quasi-Variational Inequalities for Pseudo-Monotone Set-Valued Mappings | p. 421 |
| Non-Linear Variational Inequalities and the Existence of Equilibrium in Economics with a Reiesz Space of Commodities | p. 426 |
| Existence of Equilibrium Lemma | p. 428 |
| Equilibria of Non-compact Generalized Games with L* Majorized Preference Correspondences | p. 430 |
| Existence of Maximal Elements | p. 430 |
| Existence of Equilibrium for Non-Compact Abstract Economies | p. 434 |
| Equilibria of Non-Compact Generalized Games | p. 438 |
| Equilibria of Generalized Games | p. 442 |
| Tarafdar and Yuan's Application on Existence Theorem of Equilibria for Constrained Games | p. 445 |
| Best Approximation and Fixed Point Theorems for Set-Valued Mappings in Topological Vector Spaces | p. 447 |
| Single-Valued Case | p. 448 |
| Set-Valued Case | p. 452 |
| Some Lemmas and Relevant Results | p. 454 |
| Degree Theories for Set-Valued Mappings | p. 463 |
| Degree Theory for Set-Valued Ultimately Compact Vector Fields | p. 463 |
| Properties of the Degree of Ultimately Compact Vector Fields | p. 465 |
| k-[phi]-Contractive Set Valued Mappings | p. 467 |
| Coincidence Degree for Non-Linear Single-Valued Perturbations of Linear Fredholm Mappings | p. 471 |
| An Equivalence Theorem | p. 473 |
| Definition of Coincidence Degree | p. 474 |
| Properties of the Coincidence Degree | p. 475 |
| On the Existence of Solutions of the Equation Lx [set membership] Nx and a Coincidence Degree Theory | p. 478 |
| Coincidence Degree for Set-Valued k - [phi]-Contractive Perturbations of Linear Fredholm Mappings | p. 479 |
| Coincidence Degree for Multi-Valued Mappings with Non-Negative Index | p. 497 |
| Basic Assumptions and Main Results in Akashi (1988) | p. 497 |
| Akashi's Basic Properties of Coincidence Degree | p. 502 |
| Application to Multitivalued Boundary Value Problem for Elliptic Partial Differential Equation | p. 503 |
| Applications of Equivalence Theorems with Single-Valued Mappings: An Approach to Non-Linear Elliptic Boundary Value Problems | p. 507 |
| Tarafdar's Application to Elliptic Boundary Value Problems | p. 521 |
| Further Results in Coincidence Degree Theory | p. 525 |
| Tarafdar and Thompson's Theory of Bifurcation for the Solutions of Equations Involving Set-Valued Mapping | p. 528 |
| Characteristic Value and Multiplicity | p. 532 |
| Tarafdar and Thompson's Results on the Theory of Bifurcation | p. 532 |
| Tarafdar and Thompson's Application on the Theory of Bifurcation | p. 539 |
| Tarafdar and Thompson's Results on the Solvability of Non-Linear and Non-Compact Operator Equations | p. 542 |
| Measure of Noncompactness and Set Contraction | p. 542 |
| Epi Mappings | p. 546 |
| Tarafdar and Thompson's (p, k)-Epi Mappings on the Whole Space | p. 555 |
| Tarafdar and Thompson's Applications of (p, k)-Epi Mappings in Differential Equations | p. 556 |
| Nonexpansive Types of Mappings and Fixed Point Theorems in Locally Convex Topological Vector Spaces | p. 563 |
| Nonexpansive Types of Mappings in Locally Convex Topological Vector Spaces | p. 563 |
| Nonexpansive Mappings | p. 563 |
| Set-Valued Mappings of Nonexpansive Type | p. 571 |
| Normal Structure and Fixed Point Theorems | p. 572 |
| Another Definition of Nonexpansive Set-Valued Mapping and Corresponding Results on Fixed Point Theorems | p. 575 |
| Fixed Point Theorems for Condensing Set-Valued Mappings on Locally Convex Topological Vector Spaces | p. 576 |
| Measure of Precompactness and Non-Precompactness | p. 577 |
| Condensing Mappings | p. 578 |
| Fixed Point Theorems | p. 580 |
| Bibliography | p. 583 |
| Index | p. 605 |
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