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An iterative algorithm for a system of generalized quasi-variational inequalities | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 161، دوره 14، شماره 1، فروردین 2023، صفحه 2049-2060 اصل مقاله (366.32 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26022.3194 | ||
| نویسنده | ||
| Sumeera Shafi* | ||
| Department of Mathematics, S.P. College, Cluster University, Srinagar-190001, India | ||
| تاریخ دریافت: 20 بهمن 1400، تاریخ بازنگری: 15 آبان 1401، تاریخ پذیرش: 21 آبان 1401 | ||
| چکیده | ||
| In this paper, we introduce and study a system of generalized quasi-variational inequalities involving nonlinear, nonconvex and nondifferentiable terms in uniformly smooth Banach space. By means of the retraction mapping technique, we prove the existence of solutions for this system of quasi-variational inequalities. Further, we suggest an iterative algorithm for finding the approximate solution of this system and discuss the convergence criteria of the sequences generated by the iterative algorithm under some suitable conditions. | ||
| کلیدواژه‌ها | ||
| System of generalized quasi-variational inequalities؛ nonlinear؛ nonconvex and nondifferentiable term؛ uniformly smooth Banach space؛ retraction mapping؛ Iterative algorithm؛ Convergence analysis | ||
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