Modified semi-implicit midpoint rule for nonexpansive mappings
Yonghong Yao, Naseer Shahzad, Yeong‐Cheng Liou · Fixed Point Theory and Applications · 2015
Abstract The purpose of the paper is to construct iterative methods for finding the fixed points of nonexpansive mappings. We present a modified semi-implicit midpoint rule with the viscosity technique. We prove that the suggested method converges strongly to a special fixed point of nonexpansive mappings under some different control conditions. Some applications are also included.