Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces
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 numeric...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2019-12-01
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Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/12/1/36 |
Summary: | 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. |
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ISSN: | 2073-8994 |