Proximal Point Algorithm Involving Best Proximity Point of Nonself Nonexpansive Mappings in Real Hilbert Spaces

Supalin Tiammee, Jukrapong Tiammee

Abstract

In this paper, we present a new algorithm for approximating a solution of the convex minimization problems and best proximity point problems. The weak and strong convergence theorems are proved under some appropriate conditions. Moreover, we provide numerical experiment to illustrate the convergence behavior of the solution and to show the effectiveness of the proposed our algorithm.