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Article

Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces

by *,† and
Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2020, 12(1), 36; https://doi.org/10.3390/sym12010036
Received: 25 November 2019 / Revised: 13 December 2019 / Accepted: 17 December 2019 / Published: 23 December 2019
(This article belongs to the Special Issue Fixed Point Theory and Computational Analysis with Applications)
In Banach spaces, we study the problem of solving a more general variational inequality system for an asymptotically non-expansive mapping. We give a new viscosity approximation scheme to find a common element. Some strong convergence theorems of the proposed iterative method are obtained. A numerical experiment is given to show the implementation and efficiency of our main theorem. Our results presented in this paper generalize and complement many recent ones. View Full-Text
Keywords: strong convergence; fixed point; general variational inequality system; asymptotically non-expansive mapping; Banach space strong convergence; fixed point; general variational inequality system; asymptotically non-expansive mapping; Banach space
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MDPI and ACS Style

Wang, Y.; Pan, C. Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces. Symmetry 2020, 12, 36. https://doi.org/10.3390/sym12010036

AMA Style

Wang Y, Pan C. Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces. Symmetry. 2020; 12(1):36. https://doi.org/10.3390/sym12010036

Chicago/Turabian Style

Wang, Yuanheng, and Chanjuan Pan. 2020. "Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces" Symmetry 12, no. 1: 36. https://doi.org/10.3390/sym12010036

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