Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings

Abstract

In this paper, we introduce and study a new iterative scheme toapproximate a common xed point for a nite family of generalized asymptoticallyquasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weakconvergence theorems of the proposed iteration are established. The main resultsobtained in this paper generalize and re ne some known results in the currentliterature.