On common fixed points in modular vector spaces

DOI10.1186/S13663-015-0478-ZzbMath1346.47019OpenAlexW2205927269WikidataQ59411401 ScholiaQ59411401MaRDI QIDQ288298

Mohamed Amine Khamsi, Afrah A. N. Abdou

Publication date: 25 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0478-z

zbMATH Keywords

fixed pointretractionmodular metric spaceelectrorheological fluidsmodular function spaceBanach operator pairKKM-mapping

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (1)

Approximating common fixed points of an evolution family on a metric space via Mann iteration

Cites Work

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• KKM and Ky Fan theorems in modular function spaces
• Banach operator pair and common fixed points for nonexpansive maps
• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values
• Common fixed points for Banach operator pairs with applications
• Best simultaneous approximations, asymptotically nonexpansive mappings and variational inequalities in Banach spaces
• Common fixed points from best simultaneous approximations
• Modular metric spaces. I: Basic concepts
• Modular metric spaces. II: Application to superposition operators
• A common fixed point theorem for a commuting family of nonexpansive mappings
• KKM and Ky Fan theorems in hyperconvex metric spaces
• Electrorheological fluids: modeling and mathematical theory
• Common fixed points for Banach operator pairs from the set of best approximations
• Common fixed points in best approximation for Banach operator pairs with Ćirić type \(I\)-contractions
• Common fixed point theorems for compatible self-maps of Hausdorff topological spaces
• Common fixed points for commuting contraction mappings
• Fixed Point Theory in Modular Function Spaces
• An Introduction to Metric Spaces and Fixed Point Theory
• On Common Fixed Points of Commuting Continuous Functions on an Interval

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