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

  • Receive Date 13 January 2013
  • Revise Date 02 May 2013
  • Accept Date 25 May 2013

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