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A modified forward-backward splitting method for sum of monotone operators and demicontractive mappings | ||
Caspian Journal of Mathematical Sciences | ||
مقاله 20، دوره 11، شماره 1، 2022، صفحه 229-241 اصل مقاله (321.22 K) | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22080/cjms.2020.17118.1415 | ||
نویسنده | ||
Thierno Sow* | ||
Amadou Mahtar Mbow University, Senegal | ||
تاریخ دریافت: 18 شهریور 1398، تاریخ بازنگری: 22 مهر 1399، تاریخ پذیرش: 27 مهر 1399 | ||
چکیده | ||
In this paper, by using a modified forward-backward splitting method, the author introduces and studies an iterative algorithm for finding a common element of the set of fixed points of demicontractive mappings and the set of solutions of variational inclusion with set-valued maximal monotone mapping and inverse strongly monotone mappings in real Hilbert spaces.\,The author proves that the sequence $x_n$ which is generated by the proposed iterative algorithm converges strongly to a common element of two sets above. Finally, some applications are given. | ||
کلیدواژهها | ||
Fixed points؛ Set-valued operators؛ Variational inclusion problems, Forward-backward splitting method | ||
آمار تعداد مشاهده مقاله: 238 تعداد دریافت فایل اصل مقاله: 200 |