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Set valued mappings with applications in nonlinear analysis / edited by Ravi P. Agarwal and Donal O'Regan.

Contributor(s): Agarwal, Ravi P | O'Regan, Donal.
Material type: materialTypeLabelBookSeries: Series in mathematical analysis and applications: Volume 4.Publisher: London ; New York : Taylor & Francis, 2002Description: 1 online resource (viii, 467 pages).ISBN: 9780203216491; 9781134453733; 9781134453771; 9781134453788.Subject(s): Set-valued maps | Nonlinear theoriesAdditional physical formats: Print version: : No titleDDC classification: 515.355 Online resources: Click here to view.
Contents:
Positive L^TP and Continuous Solutions for Fredholm Integral Inclusions -- A Note on the Structure of the Solution Set for the Cauchy Differential Inclusion in Banach Spaces -- Fixed Point Theory for Acylic Maps between Topological Vector Spaces having Sufficiently many Linear Functionals, and Generalized Contractive Maps with Closed Values between Complete Metric Spaces -- Using the Integral Manifolds to Solvability of Boundary Value Problems -- On the Semicontinuity of Nonlinear Spectra -- Existence Results for Two-Point Boundary Value Problems -- Generalized Strongly Nonlinear Implicit Quasi-Variational Inequalities for Fuzzy Mappings -- Vector Variational Inequalities, Multi-Objective Optimizations, Pareto Optimality and Applications -- Variational Principle and Fixed Points -- On the Baire Category Method in Existence Problems for Ordinary and Partial Differential Inclusions -- Maximal Element Principles on Generalized Convex Spaces and their Applications -- Fixed Point Results for Multi-valued Contractions on Gauge Spaces -- The Study of Variational Inequalities and Applications to Generalized Complementarity Problems, Fixed Point Theorems of Set-Valued Mappings and Minimization Problems -- Remarks on the Existence of Maximal Elements with Respect to a Binary Relation in Non-Compact Topological Spaces -- Periodic Solutions of a Singularly Perturbed System of Differential Inclusions in Banach Space -- Constrained Differential Inclusions -- Nonlinear Boundary Value Problems with Multi-valued Terms -- Optimal Control of a Class of Nonlinear Parabolic Problems with Multi-valued Terms -- Continuation Theory for A-Proper Mappings and their Uniform Limits and Nonlinear Perturbations of Fredholm Mappings -- Existence Theorems for Strongly Accretive Operators in Banch Spaces -- A Kneser Type Property for the Solution Set of a Semilinear Differential Inclusion with Lower Semicontinuous Nonlinearity -- A Nonlinear Multi-valued Problem with Nonlinear Boundary Conditions -- Extensions of Monotone Sets -- Convergence of Iterates of Nonexpansive Set-Valued Mappings -- A Remark on the Intersection of a Lower Semicontinuous Multi-function and Fixed Set -- Random Approximations and Random Fixed Point Theorems for Set-Valued Random Maps.Existence Theorems for Two-Variable Functions and Fixed Point Theorems for Set-Valued Mappings -- An Extension Theorem and Duals of Gale-Mas-Colell's and Shafer-Sonnenschein's Theorems -- Iterative Algorithms for Nonlinear Variational Inequalities Involving Set-Valued H-Cocoercive Mappings.
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Positive L^TP and Continuous Solutions for Fredholm Integral Inclusions -- A Note on the Structure of the Solution Set for the Cauchy Differential Inclusion in Banach Spaces -- Fixed Point Theory for Acylic Maps between Topological Vector Spaces having Sufficiently many Linear Functionals, and Generalized Contractive Maps with Closed Values between Complete Metric Spaces -- Using the Integral Manifolds to Solvability of Boundary Value Problems -- On the Semicontinuity of Nonlinear Spectra -- Existence Results for Two-Point Boundary Value Problems -- Generalized Strongly Nonlinear Implicit Quasi-Variational Inequalities for Fuzzy Mappings -- Vector Variational Inequalities, Multi-Objective Optimizations, Pareto Optimality and Applications -- Variational Principle and Fixed Points -- On the Baire Category Method in Existence Problems for Ordinary and Partial Differential Inclusions -- Maximal Element Principles on Generalized Convex Spaces and their Applications -- Fixed Point Results for Multi-valued Contractions on Gauge Spaces -- The Study of Variational Inequalities and Applications to Generalized Complementarity Problems, Fixed Point Theorems of Set-Valued Mappings and Minimization Problems -- Remarks on the Existence of Maximal Elements with Respect to a Binary Relation in Non-Compact Topological Spaces -- Periodic Solutions of a Singularly Perturbed System of Differential Inclusions in Banach Space -- Constrained Differential Inclusions -- Nonlinear Boundary Value Problems with Multi-valued Terms -- Optimal Control of a Class of Nonlinear Parabolic Problems with Multi-valued Terms -- Continuation Theory for A-Proper Mappings and their Uniform Limits and Nonlinear Perturbations of Fredholm Mappings -- Existence Theorems for Strongly Accretive Operators in Banch Spaces -- A Kneser Type Property for the Solution Set of a Semilinear Differential Inclusion with Lower Semicontinuous Nonlinearity -- A Nonlinear Multi-valued Problem with Nonlinear Boundary Conditions -- Extensions of Monotone Sets -- Convergence of Iterates of Nonexpansive Set-Valued Mappings -- A Remark on the Intersection of a Lower Semicontinuous Multi-function and Fixed Set -- Random Approximations and Random Fixed Point Theorems for Set-Valued Random Maps.Existence Theorems for Two-Variable Functions and Fixed Point Theorems for Set-Valued Mappings -- An Extension Theorem and Duals of Gale-Mas-Colell's and Shafer-Sonnenschein's Theorems -- Iterative Algorithms for Nonlinear Variational Inequalities Involving Set-Valued H-Cocoercive Mappings.

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