Some stability results for nonexpansive and quasi-nonexpansive operators in uniformly convex Banach space using two new iterative processes of Kirk-type

• Autorzy: Olatinwo M. O.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we examine the stability of Kirk-Ishikawa and Kirk-Mann iteration processes for nonexpansive and quasi-nonexpansive operators in uniformly convex Banach space. To the best of our knowledge, apart from the results of Olatinwo [19], stability of fixed point iteration processes has not been investigated in uniformly convex Banach space. Our results generalize, extend and improve some of the results of Harder and Hicks [11], Rhoades [26, 27], Osilike [23], Berinde [2, 3] as well as Imoru and Olatinwo [12].

Słowa kluczowe

EN

uniformly convex Banach spaces; Ishikawa iteration process

PL

przestrzeń Banacha; przestrzeń unormowana

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2010
• Tom: Nr 43
• Strony: 101--114
• Opis fizyczny: Bibliogr. 36 poz.

Twórcy

autor

Olatinwo M. O.

• Department of Mathematics Obafemi Awolowo University Ile-Ife, Nigeria,

Bibliografia

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