STRONG CONVERGENCE OF PROJECTION METHODS FOR TWO FINITE FAMILIES OF RELATIVELY WEAK QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES

The purpose of this paper is to introduce a modified iteration process for two finite families of relatively weak quasi-nonexpansive mappings in real Banach spaces which enjoy the so-called Kadec-Klee property. We establish the strong convergence theorems for the sequences produced by the method. Our results improve and generalize many known results in the current literature.