An Approximation Method for Solving Fixed Points of General System of Variational Inequalities with Convergence Theorem and Application

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作者：
Worapun, Phannipa [1 ]
Kangtunyakarn, Atid [2 ]
机构：
[1] Phannipa Worapun is a lecturer at the Department of Applied Mathematics and Statistics, Rajamangala University of Technology Isan, Nakhon Ratchasima,30000, Thailand
[2] Associate Professor at the Department of Mathematics, Faculty of Science, King Mongkut Institute of Technology Ladkrabang, Bangkok,10520, Thailand
来源：
IAENG International Journal of Applied Mathematics | 2021年 / 51卷 / 03期
关键词：
Iterative methods;
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摘要：
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. © 2021. All Rights Reserved.
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