A new best approximation result in \((S)\) convex metric spaces

DOI10.1155/2020/4367482zbMath1486.54073OpenAlexW3011113343MaRDI QIDQ1989032

T. Sabar, J. Mouline, A. Bassou, M. Sabiri

Publication date: 24 April 2020

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/4367482

zbMATH Keywords

self-mappingconvex metric spaces

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Approximation by convex sets (52A27)

Cites Work

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• Best proximity points and stability results for controlled proximal contractive set valued mappings
• A convexity of functions on convex metric spaces of Takahashi and applications
• Best proximity point theorems for cyclic orbital Meir-Keeler contraction maps
• Best proximity point theorems
• Existence and convergence of best proximity points
• Convergence and existence results for best proximity points
• Some new results on cyclic relatively nonexpansive mappings in convex metric spaces
• A convexity in metric space and nonexpansive mappings. I.
• Fixed points for condensing multifunctions in metric spaces with convex structure

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