A MODIFIED INERTIAL PROJECTION AND CONTRACTION METHOD FOR SOLVING BILEVEL SPLIT VARIATIONAL INEQUALITY PROBLEMS

被引：0
|
作者：
Ugwunnadi, G.C. [1 ,2 ]
Izuchukwu, C. [3 ]
Jolaoso, L.O. [2 ,4 ]
Okeke, C.C. [5 ]
Aremu, K.O. [2 ,6 ]
机构：
[1] Department of Mathematics, University of Eswatini, Kwaluseni, Swaziland
[2] Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, Ga-Rankuwa, South Africa
[3] Department of Mathematics, The Technion-Israel Institute of Technology, Haifa, Israel
[4] Department of Mathematics, College of Physical Sciences, Federal University of Agriculture, Ogun State, Abeokuta, Nigeria
[5] School of Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg,2050, South Africa
[6] Department of Mathematics, Usmanu Danfodiyo University Sokoto, Sokoto State, Nigeria
来源：
Applied Set-Valued Analysis and Optimization | 2022年 / 4卷 / 01期
关键词：
Convergence of numerical methods;
D O I：
10.23952/asvao.4.2022.1.04
中图分类号：
学科分类号：
摘要：
The main purpose of this paper is to study a bilevel split variational inequality problem in two real Hilbert spaces. We propose a new modified inertial projection and contraction method for solving this problem when one of the cost operators is pseudomonotone and Lipschitz continuous, but not sequentially weakly continuous. Strong convergence of the proposed method is established and numerical examples are given to support our theoretical findings. © 2022 Biemdas Academic Publishers. All Rights Reserved.
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页码：55 / 71
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