Strong convergence theorem for split variational inclusion problem and finite family of fixed point problems

	Strong convergence theorem for split variational inclusion problem and finite family of fixed point problems
International Journal of Nonlinear Analysis and Applications
مقاله 190، دوره 14، شماره 1، فروردین 2023، صفحه 2425-2438 اصل مقاله (426.24 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25258.2970
نویسندگان
Shamshad Husain؛ Mubashshir Uddin Khairoowala^* ؛ Mohd Asad
Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India
چکیده
The main objective of this paper is to introduce and study a new type of iterative method to approximate a common solution of split variational inclusion problem and a finite family of fixed point problems in real Hilbert spaces. Furthermore, we show that the sequence generated by the proposed iterative method converges strongly to a common solution to these problems. The method and results presented in this paper extend and unify some recent known results in this field. Finally, a numerical example is used to demonstrate the convergence analysis of the sequences generated by the iterative method.
کلیدواژه‌ها
Averaged mapping؛ Fixed point problem؛ Strong convergence؛ Iterative method
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