Set valued mappings with applications in nonlinear analysis /
edited by Ravi P. Agarwal and Donal O'Regan.
- 1 online resource (viii, 467 pages)
- Series in mathematical analysis and applications ; Volume 4 .
- Series in mathematical analysis and applications ; Volume 4. .
Includes bibliographical references.
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.
9780203216491 9781134453733 9781134453771 9781134453788
10.1201/b12604 doi
Set-valued maps.
Nonlinear theories.
QA611.3 / .S48 2002
515.355 / S495
Includes bibliographical references.
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.
9780203216491 9781134453733 9781134453771 9781134453788
10.1201/b12604 doi
Set-valued maps.
Nonlinear theories.
QA611.3 / .S48 2002
515.355 / S495