Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces

Autor: Wangkeeree Rabian, Kamraksa Uthai
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Fixed Point Theory and Applications, Vol 2010, Iss 1, p 579725 (2010)
Druh dokumentu: article
ISSN: 1687-1820
1687-1812
Popis: For a countable family of strictly pseudo-contractions, a strong convergence of viscosity iteration is shown in order to find a common fixed point of in either a p-uniformly convex Banach space which admits a weakly continuous duality mapping or a p-uniformly convex Banach space with uniformly Gâteaux differentiable norm. As applications, at the end of the paper we apply our results to the problem of finding a zero of accretive operators. The main result extends various results existing in the current literature.
Databáze: Directory of Open Access Journals
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