Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem-Reference-Cited by-同舟云学术

Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem

Published:2022-05-26 Issue:1 Volume:2022 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Arfat Yasir,Iyiola Olaniyi S.,Khan Muhammad Aqeel Ahmad,Kumam Poom^ORCID,Kumam Wiyada,Sitthithakerngkiet Kanokwan

Abstract

AbstractIn this paper, we compute a common solution of the fixed point problem (FPP) and the generalized split common null point problem (GSCNPP) via the inertial hybrid shrinking approximants in Hilbert spaces. We show that the approximants can be easily adapted to various extensively analyzed theoretical problems in this framework. Finally, we furnish a numerical experiment to analyze the viability of the approximants in comparison with the results presented in (Reich and Tuyen in Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 114:180, 2020).

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-022-02803-2.pdf

Reference57 articles.

1. Alvarez, F., Attouch, H.: An inertial proximal method for monotone operators via discretization of a nonlinear oscillator with damping. Set-Valued Anal. 9, 3–11 (2001)

2. Aoyama, K., Kimura, Y., Takahashi, W., Toyoda, M.: Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space. Nonlinear Anal. 67, 2350–2360 (2007)

3. Arfat, Y., Kumam, P., Khan, M.A.A., Iyiola, O.S.: Multi-inertial parallel hybrid projection algorithm for generalized split null point problems. J. Appl. Math. Comput. (2021). https://doi.org/10.1007/s12190-021-01660-4

4. Arfat, Y., Kumam, P., Khan, M.A.A., Ngiamsunthorn, P.S.: Parallel shrinking inertial extragradient approximants for pseudomonotone equilibrium, fixed point and generalized split null point problem. Ric. Mat. (2021). https://doi.org/10.1007/s11587-021-00647-4

5. Arfat, Y., Kumam, P., Khan, M.A.A., Ngiamsunthorn, P.S.: Shrinking approximants for fixed point problem and generalized split null point problem in Hilbert spaces. Optim. Lett. (2021). https://doi.org/10.1007/s11590-021-01810-4

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some variants of the hybrid extragradient algorithm in Hilbert spaces;Journal of Inequalities and Applications;2024-01-12

2. An accelerated extragradient algorithm for fixed point, pseudomonotone equilibrium and split null point problems;Fixed Point Theory;2023-06-15

3. Some variant of Tseng splitting method with accelerated Visco-Cesaro means for monotone inclusion problems;AIMS Mathematics;2023

4. An inertially constructed projection based hybrid algorithm for fixed point and split null point problems;AIMS Mathematics;2023

5. An accelerated variant of the projection based parallel hybrid algorithm for split null point problems;Topological Methods in Nonlinear Analysis;2022-12-10