Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

Document Type : Research Paper

Author

Department of Mathematics and Information Technology, Govt. Nagarjuna P.G. College of Science, Raipur- 492010 (C.G.), India

Abstract

In this paper, we prove that an implicit iterative process with errors converges strongly to a common fixed point for a nite family of generalized asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results unify, improve and generalize the corresponding results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] and many others.

Keywords