Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges
type: Item
instance of: scholarly article
title: Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges
zbMATH Open document ID: 0776.47029
DOI: 10.1016/0022-247X(92)90219-4
author: Wen-Bo Kong
author: Xieping Ding
published in: Journal of Mathematical Analysis and Applications
publication date: 1993-01-16T00:00:00Z
review text: This article presents a new approximation theorem with elements from some wedge of a continuous condensing mapping in a locally convex Hausdorff space \(E\). This result generalizes some well-known theorems of Fan, Lin, Sehgal and Singh. As applications some fixed point theorems for multivalued \(K\)-set contractive mappings defined on closed balls and annulus values in cones of Banach spaces are given.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 91556
zbMATH Keywords: condensing mapping
zbMATH Keywords: locally convex Hausdorff space
zbMATH Keywords: fixed point theorems for multivalued \(K\)-set contractive mappings defined on closed balls
zbMATH Keywords: annulus values in cones of Banach spaces
reviewed by: Peter P. Zabreĭko
MaRDI profile type: Publication
cites work: Q3782303
cites work: Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications
cites work: Extensions of two fixed point theorems of F. E. Browder
cites work: A Fixed-Point Theorem for Inward and Outward Maps
cites work: Approximation Theorems and Fixed Point Theorem in Cones
cites work: A Note on a Theorem of Ky Fan
cites work: Existence of Fixed Points of Positive k -Set-Contractive Maps as Consequences of Suitable Boundary Conditions
cites work: A Degree Theory, Fixed Point Theorems, and Mapping Theorems for Multivalued Noncompact Mappings
cites work: A theorem on the minimization of a condensing multifunction and fixed points
cites work: On Random Approximations and a Random Fixed Point Theorem for Set Valued Mappings
cites work: Q4051163
description: scientific article; zbMATH DE number 91556