Fixed points, selections and common fixed points for nonexpansive-type mappings

DOI10.1016/j.jmaa.2010.06.039zbMath1232.47045OpenAlexW2045818615MaRDI QIDQ549785

Adriana Nicolae, Pepa Lorenzo, Rafael Espínola

Publication date: 18 July 2011

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

Full work available at URL: https://idus.us.es/xmlui/handle/11441/47776

zbMATH Keywords

fixed pointmetric spaceBanach spacegeneralized nonexpansive mappingscommuting mappingsselection of multifunctions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (16)

On the Ishikawa iteration processes for multivalued mappings in some \(\mathrm{CAT}(\kappa)\) spaces ⋮ On stationary points of nonexpansive set-valued mappings ⋮ Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces ⋮ A note on common fixed point results in uniformly convex hyperbolic spaces ⋮ A common fixed point theorem for a commuting family of nonexpansive mappings one of which is multivalued ⋮ Nonexpansive retracts and weak compatible pairs in metric spaces ⋮ Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Fixed point theorems of mean nonexpansive set-valued mappings in Banach spaces ⋮ Unnamed Item ⋮ One-local retracts and Banach operator pairs in metric spaces ⋮ Unnamed Item ⋮ Common fixed point of single valued and multivalued mappings ⋮ Fixed point theorems for (L)-type mappings in complete CAT(0) spaces ⋮ Approximating stationary points of multivalued generalized nonexpansive mappings in metric spaces ⋮ Existence of common fixed points using Bregman nonexpansive retracts and Bregman functions in Banach spaces ⋮ Unnamed Item

Cites Work

• Fixed point theory for a class of generalized nonexpansive mappings
• Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory
• Invariant approximation for CAT(0) spaces
• Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
• Some recent results in metric fixed point theory
• Fixed point results for multimaps in CAT(0) spaces
• Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity
• Common fixed points for multimaps in metric spaces
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Edelstein's method and fixed point theorems for some generalized nonexpansive mappings
• Fixed points, selections and best approximation for multivalued mappings in \(R\)-trees
• Iteration processes for nonexpansive mappings
• Multivalued Nonexpansive Mappings and Opial's Condition
• Best approximation of coincidence points in metric trees
• A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space
• Fixed point and selection theorems in hyperconvex spaces
• Hyperconvexity and Nonexpansive Multifunctions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fixed points, selections and common fixed points for nonexpansive-type mappings