Fixed point and approximation results for multimaps in S-KKM class.

DOI10.1016/j.na.2003.10.019zbMath1056.47032OpenAlexW2100334035MaRDI QIDQ1426717

Naseer Shahzad

Publication date: 15 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.10.019

zbMATH Keywords

fixed pointbest approximationcondensing multimapS-KKM property

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Set-valued operators (47H04) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (8)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices ⋮ The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces ⋮ Unnamed Item ⋮ KKM property, \(S\)-KKM property and fixed point theorems ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

Cites Work

• Multivalued maps and the existence of best approximants
• Some properties of convex sets related to fixed point theorems
• Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges
• Approximate selections, best approximations, fixed points, and invariant sets
• Approximation and fixed-point theorems for condensing composites of multifunctions
• On S-KKM property and-related topics
• On approximation theorems and fixed point theorems for non-self-mappings in infinite dimensional Banach spaces
• KKM property and fixed point theorems
• Fixed-point theorems for multivalued noncompact inward maps
• Extensions of two fixed point theorems of F. E. Browder
• A Generalization to Multifunctions of Fan's Best Approximation Theorem
• A Note on a Theorem of Ky Fan
• Topological essentiality and differential inclusions
• Random and deterministic fixed point and approximation results for countably 1-set-contractive multimaps
• Approximation and fixed point theorems for countable condensing composite maps
• Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces
• Fixed-point theorems for multifunctions in S-KKM class

This page was built for publication: Fixed point and approximation results for multimaps in S-KKM class.