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 er-
rors converges strongly to a common xed 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 correspond-
ing results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] and
many others.

Keywords