Common fixed points for commuting mappings in hyperconvex spaces

DOI10.1016/j.topol.2014.10.018zbMath1302.54085OpenAlexW2028722673MaRDI QIDQ484289

Naseer Shahzad, Jack T. Markin

Publication date: 6 January 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2014.10.018

zbMATH Keywords

fixed pointsnonexpansive mappingscommon fixed pointscommuting mappingshyperconvex metric spaces

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)

Cites Work

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• Extension of uniformly continuous transformations and hyperconvex metric spaces
• Best approximation and fixed point theorems in hyperconvex metric spaces
• Fixed point results for multimaps in CAT(0) spaces
• Single-valued mappings, multivalued mappings and fixed-point theorems
• Nonexpansive retractions in hyperconvex spaces
• Invariant approximations for commuting mappings in CAT(0) and hyperconvex spaces
• Common fixed points for commuting contraction mappings
• Lim's theorems for multivalued mappings in CAT(0) spaces
• Hyperconvexity and approximate fixed points
• Retractions on the fixed point set of semigroups of nonexpansive maps in hyperconvex spaces
• Fixed point and selection theorems in hyperconvex spaces
• Hyperconvexity and Nonexpansive Multifunctions

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