A variational principle and best proximity points

DOI10.1007/S10114-015-4538-4zbMath1330.47068OpenAlexW1123631171MaRDI QIDQ2516025

Nadia P. Zlateva, Milen Ivanov, Boyan Zlatanov

Publication date: 10 August 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4538-4

zbMATH Keywords

fixed pointuniformly convex Banach spacebest proximity pointcyclic mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (4)

Best proximity points for p-cyclic summing iterated contractions ⋮ Approximating distance between sets by multivalued coupling with application to uniformly convex Banach spaces ⋮ Ekeland's variational principle and minimization Takahashi's theorem in generalized metric spaces ⋮ Best proximity points of p-cyclic orbital Meir–Keeler contraction maps

Cites Work

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• Existence and convergence of best proximity points
• Iterative approximation of fixed points
• Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
• Techniques of variational analysis
• Nonconvex minimization problems
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• A Comparison of Various Definitions of Contractive Mappings
• Best proximity point theorems for weak cyclic Kannan contractions
• Best proximity points for p-summing cyclic orbital Meir–Keeler contractions

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