Error estimates for approximation of coupled best proximity points for cyclic contractive maps

DOI10.1016/j.amc.2016.06.022zbMath1410.41010OpenAlexW2495430193MaRDI QIDQ1733714

Boyan Zlatanov, Atanas Ilchev

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.06.022

zbMATH Keywords

uniformly convex Banach spacemodulus of convexitya posteriori error estimatea priori error estimatebest proximity points

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Geometry and structure of normed linear spaces (46B20) Rate of convergence, degree of approximation (41A25)

Related Items (9)

Approximating distance between sets by multivalued coupling with application to uniformly convex Banach spaces ⋮ Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces ⋮ Best proximity points of (EP)-operators with qualitative analysis and simulation ⋮ Unnamed Item ⋮ Approximate best proximity point sequences for C*_λ mappings in strictly convex Banach spaces ⋮ Fixed point theorems for Geraghty contraction type mappings in \(b\)-metric spaces and applications ⋮ Solution of a fuzzy global optimization problem by fixed point methodology using a weak coupled contraction ⋮ Unnamed Item ⋮ Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings^*

Cites Work

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• Common fixed points of \(f\)-weak contractions in cone metric spaces
• Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
• Fixed point theorems for mixed monotone operators and applications to integral equations
• Existence and convergence of best proximity points
• Iterative approximation of fixed points
• On the uniform convexity of \(L^ p\) spaces, \(1<p\leq 2\)
• Fixed point theorems in partially ordered metric spaces and applications
• Extensions of two fixed point theorems of F. E. Browder
• Coupled fixed point theorems for new contractive mixed monotone mappings and applications to integral equations
• Coupled fixed points of nonlinear operators with applications
• Tripled best proximity point theorem in metric spaces

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