Best Proximity Point Results for MK‐Proximal Contractions

Mohamed Jleli, Erdal Karapınar and Bessem Samet

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: Let A and B be nonempty subsets of a metric space with the distance function d, and T : A → B is a given non‐self‐mapping. The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real‐valued function x ↦ d(x, Tx), where T belongs to a new class of contractive mappings. We provide also an iterative algorithm to find a solution of such optimization problems.

Date: 2012
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https://doi.org/10.1155/2012/193085

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:193085

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