Solving quasimonotone and non-monotone variational inequalities

被引:0
|
作者
V. A. Uzor
T. O. Alakoya
O. T. Mewomo
A. Gibali
机构
[1] University of KwaZulu-Natal,School of Mathematics, Statistics and Computer Science
[2] Braude College of Engineering,Department of Mathematics
[3] University of Haifa,The Center for Mathematics and Scientific Computation
关键词
Projection and contraction method; Quasimonotone variational inequality problem; Inertial technique; Self-adaptive step size; 65K15; 47J25; 47H05; 47H10;
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学科分类号
摘要
We present a simple iterative method for solving quasimonotone as well as classical variational inequalities without monotonicity. Strong convergence analysis is given under mild conditions and thus generalize the few existing results that only present weak convergence methods under restrictive assumptions. We give finite and infinite dimensional numerical examples to compare and illustrate the simplicity and computational advantages of the proposed scheme.
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页码:461 / 498
页数:37
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