A characterization of weak proximal normal structure and best proximity pairs

DOI10.1007/S13398-022-01217-5OpenAlexW4220828145MaRDI QIDQ2116796

G. Sankara Raju Kosuru, Rafael Espínola, Abhik Digar

Publication date: 18 March 2022

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10767

zbMATH Keywords

relatively nonexpansive mappingbest proximity pairsproximal normal structurerelatively orbital nonexpansive mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Geometry and structure of normed linear spaces (46B20)

Related Items (2)

Fixed points and common fixed points for orbit-nonexpansive mappings in metric spaces ⋮ Remarks on the paper ``A characterization of weak proximal normal structure and best proximity pairs

Cites Work

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• Seminormal structure and fixed points of cyclic relatively nonexpansive mappings
• Normal structure and orbital fixed point conditions
• On generalized pointwise noncyclic contractions without proximal normal structure
• A Note on Existence and Convergence of Best Proximity Points for Pointwise Cyclic Contractions
• A new approach to relatively nonexpansive mappings
• Proximal normal structure and relatively nonexpansive mappings

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