Remarks on Minimal Sets for Cyclic Mappings in Uniformly Convex Banach Spaces
From MaRDI portal
Publication:2987804
DOI10.1080/01630563.2016.1276074zbMath1458.47028OpenAlexW2568193873MaRDI QIDQ2987804
Publication date: 18 May 2017
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2016.1276074
uniformly convex Banach spacebest proximity pointcyclic relatively nonexpansive mappingproximal normal structure
Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (6)
Relatively Nonexpansive Mappings in k-Uniformly Convex Banach Spaces ⋮ Asymptotic Behaviour of ϕ-Nonexpansive Sequences and Mappings in Banach Spaces ⋮ Edelstein’s Theorem for Cyclic Contractive Mappings in Strictly Convex Banach Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Survey on Best Proximity Point Theory in Reflexive and Busemann Convex Spaces
Cites Work
- Global optimal solutions of noncyclic mappings in metric spaces
- On cyclic Meir-Keeler contractions in metric spaces
- Best proximity points for asymptotic cyclic contraction mappings
- Existence and convergence of best proximity points
- Convergence and existence results for best proximity points
- Proximal pointwise contraction
- Transfinite methods in metric fixed-point theory
- Best proximity points for cyclic Meir-Keeler contractions
- Best proximity point theorems for cyclic strongly quasi-contraction mappings
- Semi-normal structure and best proximity pair results in convex metric spaces
- On the Structure of Minimal Sets of Relatively Nonexpansive Mappings
- A Note on Existence and Convergence of Best Proximity Points for Pointwise Cyclic Contractions
- Best Proximity Points and Fixed Point Results for Certain Maps in Banach Spaces
- Inequalities in Banach spaces with applications
- Zum Prinzip der kontraktiven Abbildung
- An Introduction to Metric Spaces and Fixed Point Theory
- A Fixed Point Theorem for Mappings which do not Increase Distances
- The best possible net and the best possible cross-section of a set in a normed space
- Nonlinear mappings of nonexpansive and accretive type in Banach spaces
- Proximal normal structure and relatively nonexpansive mappings
This page was built for publication: Remarks on Minimal Sets for Cyclic Mappings in Uniformly Convex Banach Spaces