Best proximity points for weak proximal contractions

DOI10.1007/s40840-014-0009-9zbMath1310.41028OpenAlexW2015877481MaRDI QIDQ2017702

Moosa Gabeleh

Publication date: 23 March 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0009-9

zbMATH Keywords

best proximity pointproximal contractioncommon best proximity pointP-property

Mathematics Subject Classification ID

Complete metric spaces (54E50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (8)

Best approximation and variational inequality problems involving a simulation function ⋮ Some common best proximity point theorems in a complete metric space ⋮ Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets ⋮ Seminormal structure and fixed points of cyclic relatively nonexpansive mappings ⋮ Some properties of distances and best proximity points of cyclic proximal contractions in metric spaces ⋮ Best proximity point theorems via proximal non-self mappings ⋮ Existence and uniqueness of a solution for some nonlinear programming problems ⋮ A best proximity point theorem for generalized Geraghty-Suzuki contractions

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