On the fixed points of commuting nonexpansive maps in hyperconvex spaces

DOI10.1016/0022-247X(92)90165-AzbMath0767.54039OpenAlexW2132082848MaRDI QIDQ1206858

Robert Sine, Michael Lin, Mohamed Amine Khamsi

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90165-a

zbMATH Keywords

common fixed pointbounded orbithyperconvex spacecommon \(\varepsilon\)-approximate fixed pointsfinite commuting family of nonexpansive maps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Axiomatic and generalized convexity (52A01) Fixed-point and coincidence theorems (topological aspects) (54H25)

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Cites Work

• Extension of uniformly continuous transformations and hyperconvex metric spaces
• A fixed point theorem for families of nonexpansive mappings
• A common fixed point theorem for a commuting family of nonexpansive mappings
• Fixed-point theorems for families of contraction mappings
• Hyperconvexity and approximate fixed points
• On nonlinear contraction semigroups in sup norm spaces
• Retractions on the fixed point set of semigroups of nonexpansive maps in hyperconvex spaces
• Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices
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