New hybrid algorithms for global minimization of common best proximity points of some generalized nonexpansive mappings

Abstract

© 2019, University of Nis. All rights reserved. In this paper, we introduce two hybrid algorithms for finding a common best proximity point of two best proximally nonexpansive mappings. We establish strong convergence theorems of the proposed algorithms under some control conditions in a real Hilbert space. Moreover, some numerical examples are given for supporting our main theorems.