Fixed points of multivalued maps in modular function spaces

DOI10.1155/2009/786357zbMath1183.47051OpenAlexW2129604810WikidataQ59248807 ScholiaQ59248807MaRDI QIDQ1030599

Abdul Latif, Mirwan Amin Kutbi

Publication date: 2 July 2009

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

Full work available at URL: https://eudml.org/doc/45505

zbMATH Keywords

modular function spacefixed point \(\rho\)-contractive type map

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Modular spaces (46A80)

Related Items (13)

Fixed points of multivalued contraction mappings in modular metric spaces ⋮ Banach operator pairs and common fixed points in modular function spaces ⋮ The Meir-Keeler fixed point theorem in incomplete modular spaces with application ⋮ A Pata-type fixed point theorem in modular spaces with application ⋮ Unnamed Item ⋮ Iterative approximation of fixed point of multivalued \(\rho\)-quasi-nonexpansive mappings in modular function spaces with applications ⋮ Coupled fixed points theorems for non-linear contractions in partially ordered modular spaces ⋮ Approximating fixed points of multivalued \(\rho\)-nonexpansive mappings in modular function spaces ⋮ Approximating a common fixed point of a finite family of nonlinear mappings in modular function spaces ⋮ Convexity and boundedness relaxation for fixed point theorems in modular spaces ⋮ Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces ⋮ Multistep-type construction of fixed point for multivalued ρ-quasi-contractive-like maps in modular function spaces ⋮ Fixed points of multivalued mappings in modular function spaces with a graph

Cites Work

• Fixed points of multivalued nonexpansive maps
• On some generalizations of the Banach contraction theorem
• Fixed point theorems and characterizations of metric completeness
• Multi-valued contraction mappings
• Fixed point theory in modular function spaces
• Multivalued Nonexpansive Mappings and Opial's Condition
• An Extension of Banach's Contraction Principle
• On Fixed and Periodic Points Under Contractive Mappings
• A Comparison of Various Definitions of Contractive Mappings
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• On a Theorem of Beurling and Livingston
• A Fixed Point Theorem for Mappings which do not Increase Distances
• A fixed point theorem for set valued mappings
• Generalized distance and existence theorems in complete metric spaces
• Uniformly Lipschitzian mappings in modular function spaces
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