Best Proximity Pair Results for Relatively Nonexpansive Mappings in Geodesic Spaces

DOI10.1080/01630563.2014.895762zbMath1301.54066arXiv1306.0358OpenAlexW2144377199MaRDI QIDQ2929508

Adriana Nicolae, Aurora Fernández-León

Publication date: 12 November 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0358

zbMATH Keywords

best proximity pointrelatively nonexpansive mappingbest proximity pairBusemann convexityproximal normal structure

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (10)

Best proximity points, cyclic Kannan maps and geodesic metric spaces ⋮ Nonconvex proximal normal structure in convex metric spaces ⋮ Best proximity point (pair) results via MNC in Busemann convex metric spaces ⋮ Markov-Kakutani's theorem for best proximity pairs in Hadamard spaces ⋮ Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure ⋮ Mappings of generalized condensing type in metric spaces with Busemann convex structure ⋮ Pythagorean property and asymptotic relatively nonexpansive mappings ⋮ Noncyclic Meir-Keeler contractions and best proximity pair theorems ⋮ A Survey on Best Proximity Point Theory in Reflexive and Busemann Convex Spaces ⋮ Condensing operators of integral type in Busemann reflexive convex spaces

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