A modified forward-backward splitting method for sum of monotone operators and demicontractive mappings
عنوان مقاله: A modified forward-backward splitting method for sum of monotone operators and demicontractive mappings
شناسه ملی مقاله: JR_CJMS-11-1_020
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_CJMS-11-1_020
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Thierno Sow - Amadou Mahtar Mbow University, Senegal
خلاصه مقاله:
Thierno Sow - Amadou Mahtar Mbow University, Senegal
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.
کلمات کلیدی: Fixed points, Set-valued operators, Variational inclusion problems, Forward-backward splitting method
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1616750/