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Set value mappings with applications in nonlinear analysis

Set value mappings with applications in nonlinear analysis

Volume 4 - Series in mathematical analysis and applications

Ravi P. Agarwal, Donal O'Regan

476 pages, parution le 09/10/2002

Résumé

This volume encompasses the mathematical analysis of multifunctions and contains twenty-nine research articles from leading mathematicians in this area. Interest in the mathematical analysis of multifunctions has increased rapidly over the past thirty years. This is partly due to the rich and plentiful supply of applications in diverse fields such as biology, control theory and optimization, economics, game theory and physics. The papers within this book were invited and, among others, include topics such as integral inclusion, ordinary and partial differential inclusions, fixed point theorems, boundary value problems, and optimal control.It is hoped that this collection of papers will be of interest to researchers within the field and pave the way for the creation of new mathematics in the future. Contents
  1. Positive Lp and Continous Solutions for Fredholm Integral Inclusions
  2. A Note on the Structure of the Solution Set for the Cauchy Differential Inclusion in Banach Spaces
  3. 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
  4. Using the Integral Manifolds to Solvability of Boundary Value Problems
  5. On the Semicontinuity of Nonlinear Spectra
  6. Existence Results for Two-Point Boundary Value Problems via set-valued analysis
  7. Generalized Strongly Nonlinear Implicit Quasi-Variational Inequalities for Fuzzy Mappings
  8. Vector Variational Inequalities, Multi-Objective Optimizations Pareto Optimality and Applications
  9. Variational Principle and Fixed Points
  10. On the Baire Category Method in Existence Problems for Ordinary and Partial Differential Inclusions
  11. Maximal Element Principles on Generalized Convex Spaces and their Applications
  12. Fixed Point Results for Multivalued Contractions on Gauge Spaces
  13. The Study of Variational Inequalities and Applications to Generalized Complementarity Problems, Fixed Point Theorems of Set-Valued Mappings and Minimization Problems
  14. Remarks on the Existence of Maximal Elements with Respect to a Binary Relation in Non-Compact Topological Spaces
  15. Periodic Solutions of a Singularly Perturbed System of Differential Inclusions in Banach Spaces
  16. Contrained Differential Inclusions
  17. Nonlinear Boundary Value Problems with Multivalued Terms
  18. Optimal Control of a Class of Nonlinear Parabolic Problems with Multivalued Terms
  19. Continuation Theory for A-Proper Mappings and their Uniform Limits and Nonlinear Perturbations of Fredholm Mappings
  20. Existence Theorems for Strongly Accretive Operators in Banach Spaces
  21. A Kneser Type Property for the Solution Set of a Semilinear Differential Inclusion with Lower Semicontinuous Nonlinearity
  22. A Nonlinear Multivalued Problem with Nonlinear Boundary Conditions
  23. Extensions of Monotone Sets
  24. Convergence of Iterates of Nonexpansive Set-Valued Mappings
  25. A Remark on the Intersection of a Lower Semicontinuous Multifunction and Fixed Set
  26. Random Approximations and Random Fixed Point Theorems for Set-Valued Random Maps
  27. Existence Theorems for Two-Variable Functions and Fixed Point Theorems for Set-Valued Mappings
  28. An Extension Theorem and Duals of Gale-Mas-Colell's and Shafer-Sonnenschein's Theorems
  29. Iterative Algorithms for Nonlinear Variational Inequalities Involving Set-Valued H-Cocoercive Mappings

L'auteur - Donal O'Regan

Donal O'Regan is a lecturer in the Department of Mathematics, National University of Ireland, Galway

Caractéristiques techniques

  PAPIER
Éditeur(s) Taylor and Francis Books
Auteur(s) Ravi P. Agarwal, Donal O'Regan
Parution 09/10/2002
Nb. de pages 476
Format 17,7 x 25,2
Couverture Relié
Poids 869g
Intérieur Noir et Blanc
EAN13 9780415284240
ISBN13 978-0-415-28424-0

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