A novel approach for convergence and stability of Jungck-Kirk-Type algorithms for common fixed point problems in Hilbert spaces

	A novel approach for convergence and stability of Jungck-Kirk-Type algorithms for common fixed point problems in Hilbert spaces
International Journal of Nonlinear Analysis and Applications
مقاله 22، دوره 14، شماره 4، تیر 2023، صفحه 297-312 اصل مقاله (421.3 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23396.2530
نویسندگان
lmo Kalu Agwu^* ؛ Donatus Ikechi Igbokwe
Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia Abia State, Nigeria
چکیده
In this paper, two novel iteration algorithms called Jungck-DI-Noor-multistep and Jungck-DI-SP-multistep iterative schemes are introduced and studied. Using their strong convergence, a common fixed point of nonself mappings was achieved without any imposition of 'sum conditions' on the control sequences. Further, we studied and proved the stability results of our new iterative schemes in the setting of a real Hilbert space. Our results improve, generalize and unify several known results currently in the literature.
کلیدواژه‌ها
Strong convergence؛ Jungck-DI-Noor-multistep iterative scheme؛ Jungck-DI-SP-multistep iterative scheme؛ Stability؛ Contractive operator؛ Common fixed point؛ Real Hilbert space
مراجع

آمار تعداد مشاهده مقاله: 17,190 تعداد دریافت فایل اصل مقاله: 10,817

پیوندهای مفید

آمار