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2009 Strong Convergence of Viscosity Iteration Methods for Nonexpansive Mappings
Jong Soo Jung
Abstr. Appl. Anal. 2009: 1-17 (2009). DOI: 10.1155/2009/573156


We propose a new viscosity iterative scheme for finding fixed points of nonexpansive mappings in a reflexive Banach space having a uniformly Gâteaux differentiable norm and satisfying that every weakly compact convex subset of the space has the fixed point property for nonexpansive mappings. Certain different control conditions for viscosity iterative scheme are given and strong convergence of viscosity iterative scheme to a solution of a ceratin variational inequality is established.


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Jong Soo Jung. "Strong Convergence of Viscosity Iteration Methods for Nonexpansive Mappings." Abstr. Appl. Anal. 2009 1 - 17, 2009.


Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1168.47053
MathSciNet: MR2516000
Digital Object Identifier: 10.1155/2009/573156

Rights: Copyright © 2009 Hindawi

Vol.2009 • 2009
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