Random and deterministic fixed point and approximation results for countably 1-set-contractive multimaps

DOI10.1080/00036810310001613142zbMath1067.47075OpenAlexW1996721468MaRDI QIDQ4444107

Naseer Shahzad, Donal O'Regan

Publication date: 2003

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810310001613142

zbMATH Keywords

fixed point theoremsrandom fixed pointscountably contractive multimaps

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Random nonlinear operators (47H40)

Related Items (2)

Random fixed point theorems for lower semicontinuous condensing random operators ⋮ Fixed point and approximation results for multimaps in S-KKM class.

Cites Work

• Approachability and fixed points for non-convex set-valued maps
• Random fixed point theorems with an application to random differential equations in Banach spaces
• Remarks on fixed points, maximal elements, and equilibria of generalized games
• Stability analysis of large scale integrodifferential systems
• Random fixed point theorems and approximation
• A Note on a Theorem of Ky Fan
• Topological essentiality and differential inclusions
• Approximation and fixed point theorems for countable condensing composite maps
• Random fixed point theorems for multivalued acyclic random maps
• A Unified Fixed Point Theory for Countably P -Concentrative Multimaps
• Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces
• Random fixed points of set-valued maps

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