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Viscosity approximation methods for finite family of asymptotically pseudo-contractive mappings
Pages: 711-715
Year: Issue:  4
Journal: Journal of Southwest University for Nationalities(Natrual Science Edition)

Keyword:  viscosity approximationuniformly L-Lipschitzian mappingasymptotically pseudo-contractive mappingnormalized duality mappingfixed point;
Abstract: The purpose of this paper is to introduce a new iterative scheme for a family of finite uniformly L-Lipschitzian and asymptotically pseudo-contractive mappings in a real Banach space. It is shown that under removal the boundedness condition imposed on K, by the viscosity approximation methods, the iteration scheme {xn} converges strongly to the common fixed point of this family of finite uniformly L-Lipschitzian asymptotically pseudo-contractive mappings T1, T2 ,..., TN. The results presented in the paper extend and improve some recent results.
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