Best proximity point results in geodesic metric spaces

DOI10.1186/1687-1812-2012-234zbMath1505.54061OpenAlexW2153498546WikidataQ59288170 ScholiaQ59288170MaRDI QIDQ383872

Maryam A. Alghamdi, Naseer Shahzad, Mohammed Ali Alghamdi

Publication date: 6 December 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-234

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

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Weak PG-property and best proximity points, Markov-Kakutani's theorem for best proximity pairs in Hadamard spaces, Best proximity point for \(\alpha\)-\(\psi\)-proximal contractive multimaps, Coupled best proximity point theorems for \(\alpha\)-\(\psi\)-proximal contractive multimaps, Unnamed Item, Best proximity point theorems for single and multivalued mappings in fuzzy multiplicative metric space

Cites Work

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• On best proximity pair theorems for relatively \(u\)-continuous mappings
• A best proximity point theorem for weakly contractive non-self-mappings
• Fan's inequality in geodesic spaces
• Existence and convergence of best proximity points
• Existence and uniqueness of best proximity points in geodesic metric spaces
• Best proximity points: convergence and existence theorems for \(p\)-cyclic mappings
• Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces
• Convergence and existence results for best proximity points
• Proximal pointwise contraction
• Schauder fixed point theorem in spaces with global nonpositive curvature
• Extensions of two fixed point theorems of F. E. Browder
• Best proximity pair theorems for relatively nonexpansive mappings
• Proximal normal structure and relatively nonexpansive mappings
• Metric spaces, convexity and nonpositive curvature