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An Approximation Method for Solving Fixed Points of General System of Variational Inequalities with Convergence Theorem and Application
Author(s)
Worapun, Phannipa
Date Issued
January 1, 2021
Type
Article
Abstract
In this paper, we introduce an iterative scheme {xn} for finding a common element of the set of fixed points of quasi-nonexpansive mapping and the solution set of general system of variational inequality problems. We prove strong convergence theorem without condition Tω = (1 − ω)I + ωT, and demiclosed condition, where T is a quasi-nonexpansive mapping on Hilbert space. Strong convergence theorems are established in the framework of Hilbert spaces.
Citation
Iaeng International Journal of Applied Mathematics, 51(3), 1-6, 2021