Some new results on cyclic relatively nonexpansive mappings in convex metric spaces

DOI10.1186/1029-242X-2014-350WikidataQ59320918 ScholiaQ59320918MaRDI QIDQ2262866

Naseer Shahzad, Moosa Gabeleh

Publication date: 16 March 2015

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

zbMATH Keywords

best proximity pointconvex metric spacecyclic relatively nonexpansive mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

On cyclic relatively nonexpansive mappings in generalized semimetric spaces ⋮ Relatively nonexpansive mappings in Kohlenbach hyperbolic spaces ⋮ Best proximity point theorems for cyclic relatively \(\rho\)-nonexpansive mappings in modular spaces ⋮ A new best approximation result in \((S)\) convex metric spaces ⋮ Best approximation results in various frameworks

Cites Work

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• Best proximity point theorems for generalized proximal contractions
• Some results on best proximity points for cyclic mappings
• Best proximity point theorems for reckoning optimal approximate solutions
• Best proximity points for asymptotic cyclic contraction mappings
• Best proximity points of cyclic \(\varphi\)-contractions in ordered metric spaces
• Existence and convergence of best proximity points
• The existence of best proximity points in metric spaces with the property UC
• Best proximity points of cyclic \(\varphi\)-contractions on reflexive Banach spaces
• Best proximity sets and equilibrium pairs for a finite family of multimaps
• Convergence and existence results for best proximity points
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• Fixed points of multivalued mappings in certain convex metric spaces
• Seminormal structure and fixed points of cyclic relatively nonexpansive mappings
• Best proximity points: approximation and optimization
• Best proximity pairs and equilibrium pairs for Kakutani multimaps
• On the Structure of Minimal Sets of Relatively Nonexpansive Mappings
• On Best Proximity Points in Metric and Banach Spaces
• A convexity in metric space and nonexpansive mappings. I.
• Proximal normal structure and relatively nonexpansive mappings

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