求解带不动点约束的二水平变分不等式问题的惯性方法

Q2 Mathematics
Yirga Abebe Belay, Habtu Zegeye, Oganeditse A. Boikanyo, Dintle Kagiso, Hagos Hailu Gidey
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引用次数: 0

摘要

本文引入并研究了一种求解具有不动点约束的两层变分不等式问题的惯性算法,该问题涉及到下一层变分不等式问题中的一致连续伪单调映射和不动点约束的半对称映射。在适当的条件下证明了控制序列的一个强收敛定理。最后通过数值算例验证了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An inertial method for solving bilevel variational inequality problems with fixed point constraints

In this paper, we introduce and study an inertial algorithm for solving bilevel variational inequality problems with a fixed point constraint involving a uniformly continuous pseudomonotone mapping in the lower level variational inequality problem and a demimetric mapping for the fixed point constraint. We prove a strong convergence theorem under some suitable conditions on the control sequences. We also provide a numerical example to demonstrate the effectiveness of the method.

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来源期刊
Annali dell''Universita di Ferrara
Annali dell''Universita di Ferrara Mathematics-Mathematics (all)
CiteScore
1.70
自引率
0.00%
发文量
71
期刊介绍: Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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