Fixed Point Theory and Applications

By: Jong Kyu Kim (Editor), Yeol Je Cho (Editor), Shin Min Kang (Editor)

Hardcover | 1 December 2002

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Contents include: Homotopy Type Results for Non-linear Contractions on Spaces with Two Metrics; A Quadrate Rule for the Finite Hilbert Transformation Via Midpoint Type Inequalities; Extremality and Convergence in Orlicz Space; Ishikawa Iterative Processes with Errors for Non-linear Strongly Accretive Operator Equations; Iterative Schemes for Approximating Solutions of Relations Involving Accretive Operators in Banach Spaces; Compactification and Fixed Point Properties; Some Recent Results on Quadratic Programs and Affine Variational Inequality Problems Under Linear Perturbations; Convergence Theorems an Stability of the Ishikawa Iteration Procedures with Errors for Strong Pseudocontractions and Non-linear Equations Involving Accretive Operators; Fixed Point Theorems for k-Lipschitzian and Firmly k-Lipschitzian 2-Rotative Maps; Basic Theorems on Multimaps of the KKM, Browder and Kakutani Types; Comments on Some Iteration Processes with Errors; A New System of Generalised Non-linear Mixed inclusions in Hilbert Spaces; On a Problem of B. Ricceri on Variational Inequalities.

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Preface	p. IX
Homotopy Type Results for Nonlinear Contractions on Spaces with Two Metrics	p. 1
A Quadrature Rule for the Finite Hilbert Transform Via Midpoint Type Inequalities	p. 11
Extremality and Convergence in Orlicz Space	p. 23
Ishikawa Iterative Processes with Errors for Nonlinear [Phi]-Strongly Accretive Operator Equations	p. 33
Iterative Schemes for Approximating Solutions of Relations Involving Accretive Operators in Banach Spaces	p. 41
Compactifications and Fixed Point Properties	p. 53
Some Recent Results on Quadratic Programs and Affine Variational Inequality Problems Under Linear Perturbations	p. 59
Convergence Theorems and Stability of the Ishikawa Iteration Procedures with Errors for Strong Pseudocontractions and Nonlinear Equations Involving Accretive Operators	p. 79
Fixed Point Theorems for k-Lipschitzian and Firmly k-Lipschitzian 2-Rotative Maps	p. 97
Basic Theorems on Multimaps of the KKM, Browder and Kakutani Types	p. 109
Higher Order Methods, by Superposition and Without Derivatives for Solving Nonlinear Equations on the Real Line	p. 119
Comments on Some Iteration Processes with Errors	p. 125
Coincidences and Fixed Point Theorems for Singlevalued and Multivalued Maps	p. 127
A New System of Generalized Nonlinear Mixed Inclusions in Hilbert Spaces	p. 141
A Common Fixed Point Theorem for Compatible Mappings with Application to Functional Equations Arising in Dynamic Programming	p. 155
On A Problem of B. Ricceri on Variational Inequalities	p. 163
Turnpike Theorem for A Class of Discrete Time Optimal Control Problems	p. 175
Iterative Approximations of Fixed Points for Asymptotically Nonexpansive Mappings in Banach Spaces	p. 183
Common Fixed Point Theorems for A Pair of Orbitally Contractive Type Mappings	p. 191
On Generalized Nonlinear Variational Inclusions	p. 197
On the Iteration Methods for Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces	p. 213
Index	p. 223
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Fixed Point Theory and Applications

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