Two-step inertial method for solving split common null point problem with multiple output sets in Hilbert spaces-Reference-Cited by-同舟云学术

Two-step inertial method for solving split common null point problem with multiple output sets in Hilbert spaces

Published:2023 Issue:9 Volume:8 Page:20201-20222
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Okeke Chibueze C.¹,Adamu Abubakar²³,Promkam Ratthaprom⁴,Sunthrayuth Pongsakorn⁴

Affiliation:

1. School of Mathematics, University of the Witwatersrand, Johannesburg, South Africa

2. Operational Research Center in Healthcare, Near East University, Nicosia, TRNC

3. Mathematics Institute, African University of Science and Technology, Abuja, Nigeria

4. Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Pathumthani, Thailand

Abstract

<abstract><p>In this paper, an algorithm with two-step inertial extrapolation and self-adaptive step sizes is proposed to solve the split common null point problem with multiple output sets in Hilbert spaces. Weak convergence analysis are obtained under some easy to verify conditions on the iterative parameters in Hilbert spaces. Preliminary numerical tests are performed to support the theoretical analysis of our proposed algorithm.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference54 articles.

1. A. Adamu, A. A. Adam, Approximation of solutions of split equality fixed point problems with applications, Carpathian J. Math., 37 (2021), 381–392. https://doi.org/10.37193/CJM.2021.03.02

2. A. Adamu, D. Kitkuan, P. Kumam, A. Padcharoen, T. Seangwattana, Approximation method for monotone inclusion problems in real Banach spaces with applications, J. Inequal. Appl., 2022 (2022), 70. https://doi.org/10.1186/s13660-022-02805-0

3. A. Adamu, P. Kumam, D. Kitkuan, A. Padcharoen, Relaxed modified Tseng algorithm for solving variational inclusion problems in real Banach spaces with applications, Carpathian J. Math., 39 (2023), 1–26. https://doi.org/10.37193/CJM.2023.01.01

4. A. Adamu, D. Kitkuan, A. Padcharoen, C. E. Chidume, P. Kumam, Inertial viscosity-type iterative method for solving inclusion problems with applications, Math. Comput. Simul., 194 (2022), 445–459. https://doi.org/10.1016/j.matcom.2021.12.007

5. B. Ali, A. A. Adam, A. Adamu, An accelerated algorithm involving quasi-$\phi$-nonexpansive operators for solving split problems, J. Nonlinear Model. Anal., 5 (2023), 54–72. https://doi.org/10.12150/jnma.2023.54