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General bivariational inclusions and iterative methods | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 26، دوره 14، شماره 1، فروردین 2023، صفحه 309-324 اصل مقاله (410.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26239.3271 | ||
| نویسندگان | ||
| Muhammad Aslam Noor* 1؛ Khalida Inayat Noor2 | ||
| 1COMSATS University Islamabad, Islamabad, Pakistan | ||
| 2COMSATS Institute of Information Technology, Islamabad, Pakistan | ||
| تاریخ دریافت: 19 بهمن 1400، تاریخ بازنگری: 10 تیر 1401، تاریخ پذیرش: 02 مرداد 1401 | ||
| چکیده | ||
| In this paper, we consider some new classes of general bivariational inclusions. It is shown that the general bivariational inclusions are equivalent to the fixed point problems, resolvent equations and dynamical systems. We have discussed the existence of a solution of the general bivariational inequalities. Some new iterative methods for solving general bivariational inclusions and related optimization problems are suggested by using resolvent methods, resolvent equations and dynamical systems coupled with finite difference technique. Convergence analysis of these methods is investigated under monotonicity. Some special cases are also discussed as applications of the main results. | ||
| کلیدواژه‌ها | ||
| Variational inclusions؛ existence results؛ resolvent method؛ resolvent equations؛ Dynamical system؛ convergence | ||
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