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

نویسندگان
Abd-Allah, A. A. ID 1
Ahmadini, Abdullah Ali H. ID 2
Salahuddin, Dr ID 3

1 Department of Mathematics, Jazan University, Jazan-45142, KSA

2 Department of Mathematics, Jazan University, Jazan-45142, KSA

3 Department of Mathematics, Jazan University, Jazan-45142, KSA

doi
10.22075/ijnaa.2023.29160.4076
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