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Viscosity approximation methods for countable families of nonexpansive mappings in Banach spaces

โœ Scribed by Wataru Takahashi


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
769 KB
Volume
70
Category
Article
ISSN
0362-546X

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In this paper, we prove a strong convergence theorem by the hybrid method for a countable family of relatively nonexpansive mappings in a Banach space. We also establish a new control condition for the sequence of mappings {T n } which is weaker than the control condition in Lemma 3.1 of Aoyama et a