用三步迭代逼近法分析集值混合变分不等式问题的收敛性和稳定性

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-10-04 DOI:10.1016/j.chaos.2025.117221

Ishfaq Ahmad Bhat , Nathiya N. , Mohd Iqbal Bhat

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引用次数: 0

摘要

本文引入并研究了一类新的集值混合变分不等式问题及其等价形式——集值混合变分包含问题，并讨论了其解的存在唯一性。进一步提出了集值非线性混合变分不等式问题近似解的三步迭代格式。此外，我们还深入研究了所提出的三步迭代方案的收敛性和稳定性分析。这些结果可以看作是该领域早期结果的细化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Convergence and stability analysis of a set-valued mixed variational inequality problem via three-step iterative approximation scheme

In this paper, we introduce and investigate a novel class of set-valued mixed variational inequality problem and its equivalent form, a set-valued mixed variational inclusion problem and discuss their existence and uniqueness of solution. Further, we propose a three-step iterative scheme for approximating the solution of set-valued non-linear mixed variational inequality problem. Furthermore, we delve into the convergence and stability analysis of the proposed three-step iterative scheme. The results can be considered as a refinement of the earlier results in this domain.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.