Let and be nonempty subsets of a metric space with the distance function d, and 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 , where belongs to a new class of contractive mappings. We provide also an iterative algorithm to find a solution of such optimization problems.
"Best Proximity Point Results for MK-Proximal Contractions." Abstr. Appl. Anal. 2012 (SI16) 1 - 14, 2012. https://doi.org/10.1155/2012/193085