Open Access
2010 Mixed Approximation for Nonexpansive Mappings in Banach Spaces
Qing-Bang Zhang, Fu-Quan Xia, Ming-Jie Liu
Abstr. Appl. Anal. 2010: 1-12 (2010). DOI: 10.1155/2010/763207


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 approximation for nonexpansive mappings is shown also. Our theorems extend and improve the correspondingly results shown recently.


Download Citation

Qing-Bang Zhang. Fu-Quan Xia. Ming-Jie Liu. "Mixed Approximation for Nonexpansive Mappings in Banach Spaces." Abstr. Appl. Anal. 2010 1 - 12, 2010.


Published: 2010
First available in Project Euclid: 2 March 2010

zbMATH: 1195.47045
MathSciNet: MR2587613
Digital Object Identifier: 10.1155/2010/763207

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
Back to Top