Best proximity points and fixed points for \(p\)-summing maps

DOI10.1186/1687-1812-2012-86zbMath1308.41035OpenAlexW2144250175WikidataQ59289567 ScholiaQ59289567MaRDI QIDQ372084

Boyan Zlatanov, Mihaela Ancuţa Petric

Publication date: 11 October 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-86

zbMATH Keywords

fixed pointuniformly convex Banach spacecontractive conditionbest proximity point\(p\)-summing mapcyclical operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (5)

Best proximity points for p-cyclic summing iterated contractions ⋮ Best proximity points for p-summing cyclic orbital Meir–Keeler contractions ⋮ Best proximity points of p-cyclic orbital Meir–Keeler contraction maps ⋮ On \(\Omega\) class of mappings in a \(p\)-cyclic complete metric space ⋮ Existence of fixed point and best proximity point of p-cyclic orbital phi-contraction map

Cites Work

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• Existence and convergence of best proximity points
• Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
• On the variational principle
• Best proximity points for cyclic Meir-Keeler contractions
• Nonconvex minimization problems
• Best proximity point theorems for weak cyclic Kannan contractions
• Functional analysis and infinite-dimensional geometry

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