A best proximity point result in modular spaces with the Fatou property

DOI10.1155/2013/329451zbMath1325.41019OpenAlexW2170713844WikidataQ58915963 ScholiaQ58915963MaRDI QIDQ2015372

Mohamed Jleli, Bessem Samet, Erdal Karapınar

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/329451

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Modular spaces (46A80)

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Cites Work

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• Fixed point and best proximity theorems under two classes of integral-type contractive conditions in uniform metric spaces
• Best proximity point theorems generalizing the contraction principle
• Orlicz spaces and modular spaces
• Quasicontraction mappings in modular spaces without \(\Delta_2\)-condition
• Best proximity sets and equilibrium pairs for a finite family of multimaps
• Proximal pointwise contraction
• Best proximity points for cyclic Meir-Keeler contractions
• Fixed point theory in modular function spaces
• Extensions of Banach's Contraction Principle
• A Generalization of Banach's Contraction Principle
• Proximinal Retracts and Best Proximity Pair Theorems
• Proximal normal structure and relatively nonexpansive mappings

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