Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Copyright policy )Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Abstract In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach spaces. Finally, we provide an extension of Edelstein’s fixed point theorem in strictly convex Banach spaces. Examples are given to illustrate our main conclusions.
- University of Saint Joseph United States
- North-West University South Africa
- University of Ayatollah Ozma Borujerdi Iran (Islamic Republic of)
Best proximity pair, 47h09, Programming in abstract spaces, uniformly convex banach space, common best proximity point, Common best proximity point, Cyclic contraction, 90c48, Uniformly convex Banach space, 46b20, Geometry and structure of normed linear spaces, best proximity pair, uniformly convex Banach space, QA1-939, cyclic contraction, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Mathematics
Best proximity pair, 47h09, Programming in abstract spaces, uniformly convex banach space, common best proximity point, Common best proximity point, Cyclic contraction, 90c48, Uniformly convex Banach space, 46b20, Geometry and structure of normed linear spaces, best proximity pair, uniformly convex Banach space, QA1-939, cyclic contraction, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Mathematics
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