Existence and convergence of best proximity points in \( \mathrm{CAT}_\mathrm{p}(0)\) spaces

DOI10.1007/s11784-020-00785-6zbMath1435.54034OpenAlexW3033229435MaRDI QIDQ2189515

Yanyan Li

Publication date: 15 June 2020

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-020-00785-6

zbMATH Keywords

fixed pointsbest proximity pointscontraction mappingscyclic contraction mappingscoupled fixed points\( \mathrm{CAT}_\mathrm{p}(0)\) spacescoupled best proximity points

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Coupled best proximity point theorem in metric spaces
• A best proximity point theorem for weakly contractive non-self-mappings
• Existence and convergence of best proximity points
• Generalized CAT(0) spaces
• A characterization of strictly convex spaces and applications
• On Best Proximity Points in Metric and Banach Spaces
• Proximinal Retracts and Best Proximity Pair Theorems
• Convergence analysis of modified Picard-S hybrid iterative algorithms for total asymptotically nonexpansive mappings in Hadamard spaces
• Strong convergence of modified viscosity implicit approximation methods for asymptotically nonexpansive mappings in complete CAT(0) spaces
• Zum Prinzip der kontraktiven Abbildung
• Proximal normal structure and relatively nonexpansive mappings
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence and convergence of best proximity points in \( \mathrm{CAT}_\mathrm{p}(0)\) spaces