Convergence and existence results for best C-proximity points

DOI10.1515/gmj-2012-0012zbMath1247.47035OpenAlexW2325235747MaRDI QIDQ2897182

Naseer Shahzad, Hemant Kumar Pathak

Publication date: 9 July 2012

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2012-0012

zbMATH Keywords

strong convergencefixed pointmetric spaceBanach spacebest proximity pointcyclic \(\varphi\)-contraction mapcyclic \(C_\varphi\)-contraction map

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (3)

Best proximity point results for modified \(\alpha\)-proximal \(C\)-contraction mappings ⋮ Existence and convergence theorems of best proximity points ⋮ Best proximity point results in dislocated metric spaces via \(R\)-functions

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