Some fixed point results for \((c)\)-mappings in Banach spaces

DOI10.1007/s11784-020-00787-4zbMath1442.47037OpenAlexW3033268362MaRDI QIDQ2189519

Najeh Redjel, Sami Atailia, Abdelkader Dehici

Publication date: 15 June 2020

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

Full work available at URL: https://doi.org/10.1007/s11784-020-00787-4

zbMATH Keywords

fixed pointorthogonalityasymptotically regularapproximate fixed point sequencedual Banach space\( \text{weak}^{\star }\) approximately symmetric\( \text{weak}^\star\) closed convex subset\( \text{weak}^\star\) convergence\((c)\)-mappingapproximately symmetricuniformly \(\text{weak}^{\star }\) approximately symmetricuniformly convex Banach space in every direction

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

Kannan nonexpansive mappings on variable exponent function space of complex variables with some applications ⋮ Fixed point approximation of monotone nonexpansive mappings in hyperbolic spaces ⋮ On convergence theorems for generalized alpha nonexpansive mappings in Banach spaces ⋮ Application of some fixed-point theorems in orthogonal extended \(S\)-metric spaces ⋮ Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The fixed point theory for some generalized nonexpansive mappings
• Fixed point theory for a class of generalized nonexpansive mappings
• Unconditional bases and fixed points of nonexpansive mappings
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Fixed point theory for multivalued generalized nonexpansive mappings
• On Firmly Nonexpansive Mappings
• Equivalent Norms and the Fixed Point Property for Nonexpansive Mappings
• A Fixed Point Free Nonexpansive Map
• On Nonexpansive Mappings
• A Generalization of a Fixed Point Theorem of Goebel, Kirk and Shimi
• Minimal Displacement of Points Under Holomorphic Mappings and Fixed Point Properties for Unions of Convex Sets
• The fixed point problem for generalised nonexpansive maps
• A separable somewhat reflexive Banach space with nonseparable dual
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• An Introduction to Metric Spaces and Fixed Point Theory
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Some Remarks Concerning Contraction Mappings
• Fixed Point Theorems in Reflexive Banach Spaces
• On Kannan Maps
• A Generalization of a Fixed Point Theorem of Reich
• Orthogonality in normed linear spaces

This page was built for publication: Some fixed point results for \((c)\)-mappings in Banach spaces