Best Proximity Point Results for Mk-Proximal Contractions
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Date
2012
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Hindawi Publishing Corporation
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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 bar right arrow. 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.
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Jleli, Mohamed/0000-0002-6095-5875; KARAPINAR, ERDAL/0000-0002-6798-3254; Samet, Bessem/0000-0002-6769-3417
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