NEW CONVERGENCE ANALYSIS FOR COUNTABLE FAMILY OF RELATIVELY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES

Abstract

In this paper, we construct a new iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly smooth and strictly convex real Banach space with Kadec-Klee property using the properties of generalized f-projection operator. Our results extend many known recent results in the literature.