Strong Convergence to Solutions for a Class of Variational Inequalities in Banach Spaces by Implicit Iteration Methods

作者: Nguyen Buong , Nguyen Thi Hong Phuong

DOI: 10.1007/S10957-013-0350-4

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摘要: In this paper, in order to solve a variational inequality problem over the set of common fixed points an infinite family nonexpansive mappings on real reflexive and strictly convex Banach space with uniformly Gâteaux differentiable norm, we introduce two new implicit iteration methods. Their strong convergence is proved, by using V-mappings instead W-ones.

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