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.
Sow, T. (2022). A modified forward-backward splitting method for sum of monotone operators and demicontractive mappings. Caspian Journal of Mathematical Sciences, 11(1), 229-241. doi: 10.22080/cjms.2020.17118.1415
MLA
Thierno Sow. "A modified forward-backward splitting method for sum of monotone operators and demicontractive mappings", Caspian Journal of Mathematical Sciences, 11, 1, 2022, 229-241. doi: 10.22080/cjms.2020.17118.1415
HARVARD
Sow, T. (2022). 'A modified forward-backward splitting method for sum of monotone operators and demicontractive mappings', Caspian Journal of Mathematical Sciences, 11(1), pp. 229-241. doi: 10.22080/cjms.2020.17118.1415
VANCOUVER
Sow, T. A modified forward-backward splitting method for sum of monotone operators and demicontractive mappings. Caspian Journal of Mathematical Sciences, 2022; 11(1): 229-241. doi: 10.22080/cjms.2020.17118.1415
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