Common fixed points of a three-step iteration with errors of asymptotically quasi-nonexpansive nonself-mappings in the intermediate sense in Banach spaces
2014
scientific article
english
- nonexpansive mappings
- quasi-nonexpansive mappings
- asymptotically nonexpansive mappings
- asymptotically quasi-nonexpansive mappings in the intermediate sense
- nonself-mappings
- Banach spaces
EN In this paper, we extend the results of Inprasit and Wattanataweekul [7] to the class of asymptotically quasi-nonexpansive nonself-mappings in the intermediate sense. We prove some strong convergence theorems for asymptotically quasi-nonexpansive nonself-mappings in the intermediate sense using a three-step iterative method for finding a common element of the set of solutions of a generalized mixed equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a real Hilbert space. Our results extends, improves, unifies and generalizes the results of [13], [25] and [27].
93 - 115
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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