Fixed point and approximation results for multimaps in S-KKM class.
type: Item
instance of: scholarly article
title: Fixed point and approximation results for multimaps in S-KKM class.
zbMATH Open document ID: 1056.47032
author: Nazeer Shahzad
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-03-15T00:00:00Z
review text: Considering the class of condensing S-KKM multimaps [see \textit{T.-H. Chang, Y.-Y. Huang, J.-C. Jeng} and \textit{K.-H. Kuo}, J. Math. Anal. Appl. 229, 212--227 (1999; Zbl 0923.47027)], the author presents a number of fixed point and best approximation (in the sense of Ky Fan) results.
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 2057187
zbMATH Keywords: fixed point
zbMATH Keywords: condensing multimap
zbMATH Keywords: best approximation
zbMATH Keywords: S-KKM property
reviewed by: Valerii V. Obukhovskij
MaRDI profile type: Publication
full work available at URL: j.na.2003.10.019
OpenAlex ID: W2100334035
cites work: Multivalued maps and the existence of best approximants
cites work: Fixed-point theorems for multifunctions in S-KKM class
cites work: On S-KKM property and-related topics
cites work: KKM property and fixed point theorems
cites work: Extensions of two fixed point theorems of F. E. Browder
cites work: Some properties of convex sets related to fixed point theorems
cites work: Topological essentiality and differential inclusions
cites work: Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges
cites work: A Note on a Theorem of Ky Fan
cites work: Approximation and fixed-point theorems for condensing composites of multifunctions
cites work: Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces
cites work: On approximation theorems and fixed point theorems for non-self-mappings in infinite dimensional Banach spaces
cites work: Approximation and fixed point theorems for countable condensing composite maps
cites work: Random and deterministic fixed point and approximation results for countably 1-set-contractive multimaps
cites work: Fixed-point theorems for multivalued noncompact inward maps
cites work: Approximate selections, best approximations, fixed points, and invariant sets
cites work: A Generalization to Multifunctions of Fan's Best Approximation Theorem
DOI: 10.1016/J.NA.2003.10.019
description: scientific article; zbMATH DE number 2057187