Approachability and fixed points for non-convex set-valued maps
type: Item
instance of: scholarly article
title: Approachability and fixed points for non-convex set-valued maps
zbMATH Open document ID: 0762.54033
DOI: 10.1016/0022-247X(92)90032-9
author: Hichem Ben-El-Mechaiekh
author: Paul Deguire
published in: Journal of Mathematical Analysis and Applications
publication date: 1993-04-01T00:00:00Z
review text: A class of approximable (on the graph) multivalued mappings is considered. Many results, well known for metric spaces, are taken up to the case of locally convex spaces. Some nice applications to fixed point theory of multi-valued mappings are given.
reviewed by: Lech Górniewicz
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54C60
zbMATH DE Number: 150666
MaRDI profile type: Publication
cites work: Q3719468
cites work: Q4006630
cites work: Q5751589
cites work: Q3971297
cites work: Q3779305
cites work: Q5532996
cites work: Q5590339
cites work: Characterizations of certain classes of semicontinuous multifunctions by continuous approximations
cites work: On continuous approximations for multifunctions
cites work: An extension of Tietze's theorem
cites work: Q3264660
cites work: Q5520521
cites work: Modified Vietoris theorems for homotopy
cites work: Q3941926
cites work: Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
cites work: Q4087979
cites work: On the solution sets of differential inclusions
cites work: Some general theorems in coincidence theory. I
cites work: Fixed point theorems for multi-valued mappings of the absolute neighbourhood retracts
cites work: Q3816704
cites work: Q3834709
cites work: Q3906114
cites work: Coincidences for set-valued maps and minimax inequalities
cites work: Topological properties of the sets of solutions for functional differential inclusions
cites work: Periodic solutions of functional differential inclusions and fixed points of \(\sigma\)-selectionable correspondences
cites work: Retraction and extension of mappings of metric and nonmetric spaces
cites work: Fixed points of compact multifunctions
cites work: Q5509701
cites work: On the approximation of upper semi-continuous correspondences and the equilibria of generalized games
cites work: Leray-Schauder theory without local convexity
cites work: Q3944558
cites work: Fixed points of contractible valued correspondences
cites work: A note on a theorem of F. Browder
cites work: Q5766850
cites work: Q5522742
description: scientific article; zbMATH DE number 150666