Convergence theorems of new three-step iterations scheme for $I$-asymptotically nonexpansive mappings

نویسندگان

1 Department of Mathematics, Art and Science Faculty, Ad\i yaman University, 02040, Ad\i yaman, Turkey

doi
10.22075/ijnaa.2021.22022.2316
چکیده

Abstract. The purpose of this paper is to establish weak and strong convergence theorems of new three-step iterations for I-asymptotically nonexpansive mappings in Banach space.Also we introduce and study convergence theorems of the three-step iterative sequence for three I-asymptotically nonexpansive mappings in an uniformly convex Banach space. The results obtained in this paper extend and improve the recent ones announced by Chen and Guo [1], S. Temir [14], Yao and Noor[16] and many others.