Mixed Approximation for Nonexpansive Mappings in Banach Spaces

The mixed viscosity approximation is proposed for finding fixed points of nonexpansive mappings, and the strong convergence of the scheme to a fixed point of the nonexpansive mapping is proved in a real Banach space with uniformly Gâteaux differentiable norm. The theorem about Halpern type approxima...

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Bibliographic Details
Main Authors: Qing-Bang Zhang, Fu-Quan Xia, Ming-Jie Liu
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/763207