Common fixed points of a three-step iteration with errors of asymptotically quasi-nonexpansive nonself-mappings in the intermediate sense in Banach spaces

• Autorzy: Okeke G A , Olaleru J. O.
• Języki publikacji: EN

Abstrakty

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].

Słowa kluczowe

EN

nonexpansive mappings; quasi-nonexpansive mappings; asymptotically nonexpansive mappings; asymptotically quasi-nonexpansive mappings in the intermediate sense; nonself-mappings; Banach spaces

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2014
• Tom: Nr 52
• Strony: 93--115
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Okeke G A

• Department of Mathematics University of Lagos Lagos, Nigeria

autor

Olaleru J. O.

• Department of Mathematics University of Lagos Lagos, Nigeria

Bibliografia

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