Generic existence of fixed points for set-valued mappings

DOI10.1023/A:1020602030873zbMath1010.47029OpenAlexW150284419MaRDI QIDQ1863699

Simeon Reich, Zaslavski, Alexander J.

Publication date: 12 March 2003

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020602030873

zbMATH Keywords

fixed pointset-valued mappinggeneric propertynonexpansive map

Mathematics Subject Classification ID

Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (15)

An iterative method for multivalued tempered Lipschitz hemicontractive mappings ⋮ Convergence theorems for finite family of a general class of multi-valued strictly pseudo-contractive mappings ⋮ Generic existence and approximation of fixed points for nonexpansive set-valued maps ⋮ Dynamic processes, fixed points, endpoints, asymmetric structures, and investigations related to Caristi, Nadler, and Banach in uniform spaces ⋮ Kakutani-Fan-Glicksberg type results in non-separated spaces ⋮ Generic well-posedness of nonconvex constrained variational problems ⋮ Fixed points and endpoints of contractive set-valued maps in cone uniform spaces with generalized pseudodistances ⋮ Generic nonoccurrence of the Lavrentiev phenomenon for a class of optimal control problems ⋮ Convergence of perturbed iterates of set-valued mappings ⋮ Generic properties of continuous differential inclusions and the Tonelli method of approximate solutions ⋮ Existence and approximation of fixed points for set-valued mappings ⋮ Convergence of inexact iterative schemes for nonexpansive set-valued mappings ⋮ Generic well-posedness of constrained variational problems without convexity assumptions ⋮ Porosity and fixed points of nonexpansive set-valued maps ⋮ The first common fixed point theorem for commutative set-valued mappings

This page was built for publication: Generic existence of fixed points for set-valued mappings