MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Strong convergence of implicit iterates with errors for non-Lipschitzian asymptotically quasi-nonexpansive type mappings in Banach spaces
G. S. Saluja

Abstract

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

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Keywords: Asymptotically quasi-nonexpansive type mapping; implicit iteration process with errors; common fixed point; strong convergence; uniformly convex Banach space.

MSC: 47H09, 47H10

Pages:  46$-$57     

Volume  65 ,  Issue  1 ,  2013