Best Proximity Point Results for MK-Proximal Contractions. (31st December 2012)

• Record Type: Journal Article
• Authors: Jleli, Mohamed; Karapınar, Erdal; Samet, Bessem
• Other Names: Ansari Qamrul Hasan Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-12-31
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/193085
• Languages: English
• ISSNs: 1085-3375

Abstract

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, T x ), where T belongs to a new class of contractive mappings. We provide also an iterative algorithm to find a solution of such optimization problems.