Strong Convergence Theorems for Common Fixed Points of an Infinite Family of Asymptotically Nonexpansive Mappings

Yuanheng Wang

Abstract and Applied Analysis, 2014, vol. 2014, 1-6

Abstract:

In the framework of a real Banach space with uniformly Gateaux differentiable norm, some new viscosity iterative sequences are introduced for an infinite family of asymptotically nonexpansive mappings in this paper. Under some appropriate conditions, we prove that the iterative sequences converge strongly to a common fixed point of the mappings , which is also a solution of a variational inequality. Our results extend and improve some recent results of other authors.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:809528

DOI: 10.1155/2014/809528

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