Symmetry (Dec 2019)
Viscosity Approximation Methods for a General Variational Inequality System and Fixed Point Problems in Banach Spaces
Abstract
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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