Best proximity point theorems for reckoning optimal approximate solutions

DOI10.1186/1687-1812-2012-202zbMath1277.90097OpenAlexW2128306366WikidataQ59272188 ScholiaQ59272188MaRDI QIDQ383395

Mohammad Hasan, H. S. Yoon

Publication date: 4 December 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-202

zbMATH Keywords

global optimizationcontractionfixed pointnon-expansive mappingbest proximity pointgeneralized contractionoptimal approximate solution

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (11)

Weak PG-property and best proximity points ⋮ Best proximity points, cyclic Kannan maps and geodesic metric spaces ⋮ Best proximity pair and fixed point results for noncyclic mappings in modular spaces ⋮ Best proximity point for generalized and \(S\)-Geraghty contractions ⋮ Seminormal structure and fixed points of cyclic relatively nonexpansive mappings ⋮ Best proximity point for \(\alpha\)-\(\psi\)-proximal contractive multimaps ⋮ Some new results on cyclic relatively nonexpansive mappings in convex metric spaces ⋮ Coupled best proximity point theorems for \(\alpha\)-\(\psi\)-proximal contractive multimaps ⋮ Existence and uniqueness of a solution for some nonlinear programming problems ⋮ Best proximity points for relatively \(u\)-continuous mappings in Banach and hyperconvex spaces ⋮ Best proximity points for some classes of proximal contractions

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