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

نویسندگان
Harbau, Murtala Haruna ID 1
Ahmad, Abdulwahab ID 2
Ali, Bashir ID 3
Ugwunnadi, Godwin Chidi ID 4

1 Department of Mathematical Sciences, Bayero University, Kano, Nigeria

2 Department of Science and Technology Education, Bayero University, Kano, Nigeria

3 Department of Mathematics, Federal College of Eduction, Katsina, Nigeria

4 Department of Mathematical Sciences, Bayero University, Kano, Nigeria

doi
10.22075/ijnaa.2021.23301.2517
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