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

Document Type: Research Paper

Authors

Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Abstract

In this paper, we introduce and study a new iterative scheme to
approximate a common xed point for a nite family of generalized asymptotically
quasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weak
convergence theorems of the proposed iteration are established. The main results
obtained in this paper generalize and re ne some known results in the current
literature.

Keywords