Convergence of implicit iterative process for a finite family of I-nonexpansive mappings

• Autorzy: Temir S. , Aykanat G.
• Języki publikacji: EN

Abstrakty

EN

We prove that an implicit iterative process conyerges weakly and strongly to a common fixed point of a finite family of I-nonexpansive mappings in a Banach space. The results presented in this paper extend and improve the corresponding results of [1, 3, 11, 12]

Słowa kluczowe

EN

common fixed point; convergence theorem

PL

punkty stałe; teoria zbieżności

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 1
• Strony: 175--184
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Temir S.

autor

Aykanat G.

• Department of Mathematics Art and Science Faculty Harran University 63200 Sanliurfa, Turkey,

Bibliografia

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• [11] H. K. Xu, R. G. Ori, An implicit iteration process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001), no. 5-6, 767-773.
• [12] Y. Zhou, S. S. Chang, Convergence of implicit iteration process for a finite family of asymptotically nonexpansive mappings in Banach spaces, Numer. Funct. Anal. Optim. 23 (2002), 911-921.