A modified forward-backward splitting method for sum of monotone operators and demicontractive mappings
Publish place: Caspian Journal of Mathematical Sciences، Vol: 11، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-11-1_020
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
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.
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Authors
Thierno Sow
Amadou Mahtar Mbow University, Senegal