Hybrid iterative algorithms for finding common solutions of a system of generalized mixed quasi-equilibrium problems and fixed point problems of nonexpansive semigroups

	Hybrid iterative algorithms for finding common solutions of a system of generalized mixed quasi-equilibrium problems and fixed point problems of nonexpansive semigroups
International Journal of Nonlinear Analysis and Applications
مقاله 217، دوره 14، شماره 1، فروردین 2023، صفحه 2771-2786 اصل مقاله (415.2 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29160.4076
نویسندگان
A. A. Abd-Allah؛ Abdullah Ali H. Ahmadini؛ Dr Salahuddin^*
Department of Mathematics, Jazan University, Jazan-45142, KSA
چکیده
In this paper, we introduced a hybrid iterative method for finding the set of common solutions for a system of generalized mixed quasi-equilibrium problems, the set of common fixed points for nonexpansive semigroup and the set of solutions of quasi-variational inclusion problems with multi-valued maximal monotone mappings and inverse strongly monotone mappings in Hilbert spaces. Under suitable assumptions, we prove some strong convergence theorems for the iteration.
کلیدواژه‌ها
Generalized mixed quasi-equilibrium problems؛ nonexpansive semigroup؛ viscosity approximation method؛ generalized quasi-variational inclusions problems؛ multi-valued maximal monotone mappings؛ $\alpha$-inverse strongly monotone mappings
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