Weak Convergence of Iterative Approximation for Fixed Points of A Monotone α-nonexpansive Mapping
Rong Zhang · IOP Conference Series Materials Science and Engineering · 2019
Abstract In this paper, a modified approximation method is introduced for finding the fixed point of α-nonexpansive mapping in a uniformly convex Banach space with a partial order. Moreover, the weak convergence theorems of the fixed point of α-nonexpansive mapping are established under Opial and weak-Opial conditions, respectively. Topic classification: 47H05; 47H09; 47H10 CLC number: O177.91 Document code: A