Best Proximity Points and Fixed Point Results for Certain Maps in Banach Spaces
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Publication:3453791
DOI10.1080/01630563.2015.1041143zbMath1354.47037OpenAlexW2121659562MaRDI QIDQ3453791
Publication date: 30 November 2015
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2015.1041143
fixed pointbest proximity pointproximal quasi-normal structure\(T\)-regular mappingcyclic Kannan nonexpansive
Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (7)
Cyclic pairs and common best proximity points in uniformly convex Banach spaces ⋮ A characterization of proximal normal structure via proximal diametral sequences ⋮ Remarks on Minimal Sets for Cyclic Mappings in Uniformly Convex Banach Spaces ⋮ Optimum solutions for a system of differential equations via measure of noncompactness ⋮ Pythagorean property and asymptotic relatively nonexpansive mappings ⋮ Best proximity point theorems for cyclic generalized proximal contractions ⋮ Global optimization of cyclic Kannan nonexpansive mappings in nonreflexive Banach spaces
Cites Work
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- Existence and convergence of best proximity points
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- On some fixed point theorems on uniformly convex Banach spaces
- Close-to-normal structure and its applications
- Semi-normal structure and best proximity pair results in convex metric spaces
- Fixed points and characterizations of certain maps
- On the Structure of Minimal Sets of Relatively Nonexpansive Mappings
- A Note on Existence and Convergence of Best Proximity Points for Pointwise Cyclic Contractions
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- Proximinal Retracts and Best Proximity Pair Theorems
- An Introduction to Metric Spaces and Fixed Point Theory
- A Fixed Point Theorem for Mappings which do not Increase Distances
- Proximal normal structure and relatively nonexpansive mappings
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