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Explicit iteration methods for a class of variational inequalities in Banach spaces

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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 real reflexive and strictly convex Banach spaces with a uniformlyGâteaux differentiable norm, we introduce two new explicit iteration methods.

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Authors and Affiliations

  1. Instutute of Informational Technologies, 18 Hoahg Quok Viet., Hanoi, Vietnam

    Nguyen Buong & Nguyen Thi Hong Phuong

  2. Thaiguen College, Thaiguen University, Hanoi, Vietnam

    Nguyen Thi Thu Thuy

Authors
  1. Nguyen Buong
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  2. Nguyen Thi Hong Phuong
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  3. Nguyen Thi Thu Thuy
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Correspondence to Nguyen Buong.

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The text was submitted by the authors in English.

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Buong, N., Phuong, N.T.H. & Thuy, N.T.T. Explicit iteration methods for a class of variational inequalities in Banach spaces. Russ Math. 59, 16–22 (2015). https://doi.org/10.3103/S1066369X15100023

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  • DOI: https://doi.org/10.3103/S1066369X15100023

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