Strong Convergence to Solutions for a Class of Variational Inequalities in Banach Spaces by Implicit Iteration Methods |
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Authors: | Nguyen Buong Nguyen Thi Hong Phuong |
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Institution: | 1. Institute of Information Technology, VAST, Hanoi, Vietnam
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Abstract: | In this paper, in order to solve a variational inequality problem over the set of common fixed points of an infinite family of nonexpansive mappings on a real reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, we introduce two new implicit iteration methods. Their strong convergence is proved, by using new V-mappings instead of W-ones. |
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