Harbau, Murtala, Ahmad, Abdulwahab, Ali, Bashir, Ugwunnadi, Godwin. (1401). Inertial residual algorithm for fixed points of finite family of strictly pseudocontractive mappings in Banach spaces. هنرهای کاربردی, 13(2), 2257-2269. doi: 10.22075/ijnaa.2021.23301.2517
Murtala Haruna Harbau; Abdulwahab Ahmad; Bashir Ali; Godwin Chidi Ugwunnadi. "Inertial residual algorithm for fixed points of finite family of strictly pseudocontractive mappings in Banach spaces". هنرهای کاربردی, 13, 2, 1401, 2257-2269. doi: 10.22075/ijnaa.2021.23301.2517
Harbau, Murtala, Ahmad, Abdulwahab, Ali, Bashir, Ugwunnadi, Godwin. (1401). 'Inertial residual algorithm for fixed points of finite family of strictly pseudocontractive mappings in Banach spaces', هنرهای کاربردی, 13(2), pp. 2257-2269. doi: 10.22075/ijnaa.2021.23301.2517
Harbau, Murtala, Ahmad, Abdulwahab, Ali, Bashir, Ugwunnadi, Godwin. Inertial residual algorithm for fixed points of finite family of strictly pseudocontractive mappings in Banach spaces. هنرهای کاربردی, 1401; 13(2): 2257-2269. doi: 10.22075/ijnaa.2021.23301.2517

Inertial residual algorithm for fixed points of finite family of strictly pseudocontractive mappings in Banach spaces

International Journal of Nonlinear Analysis and Applications
مقاله 182، دوره 13، شماره 2، مهر 2022، صفحه 2257-2269    اصل مقاله (446.01 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23301.2517
نویسندگان
Murtala Haruna Harbau1، 2؛ Abdulwahab Ahmad3؛ Bashir Ali1؛ Godwin Chidi Ugwunnadi* 4، 5
1Department of Mathematical Sciences, Bayero University, Kano, Nigeria
2Department of Science and Technology Education, Bayero University, Kano, Nigeria
3Department of Mathematics, Federal College of Eduction, Katsina, Nigeria
4Department of Mathematics, University of Eswatini, Private Bag 4, Kwaluseni, Eswatini
5Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, P.O. Box 94, Pretoria 0204, South Africa
چکیده
In this paper, we introduce a new iteration method called inertial residual algorithm for finding a common fixed point of finite family of strictly pseudocontractive mappings in a real uniformly smooth Banach spaces. We also establish weak and strong convergence theorems for the scheme. Finally, we give numerical experiment to explain the proposed method. Our results generalize and improve many recent results in the literature.
کلیدواژه‌ها
Nonexpansive؛ Strictly pserudocontractive؛ Iterative methods؛ Residual algorithm؛ fixed point؛ Inertial algorithm
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