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Volume 5, Issue 1
An Accelerated Algorithm Involving Quasi-$\phi$-Nonexpansive Operators for Solving Split Problems

Bashir Ali, Aisha Aminu Adam & Abubakar Adamu

DOI: 10.12150/jnma.2023.54

J. Nonl. Mod. Anal., 5 (2023), pp. 54-72.

Published online: 2023-08

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, an algorithm of inertial type for approximating solutions of split equality fixed point problems involving quasi-$\phi$-nonexpansive maps is proposed and studied in the setting of certain real Banach spaces. Weak and strong convergence theorems are proved under some conditions. Some applications of the theorems are presented. The results presented extend and improve some existing results. Finally, some numerical illustrations are presented to support our theorems and their applications.

  • Keywords

Fixed point, Quasi-$\phi$-nonexpansive, Inertia.

  • AMS Subject Headings

47H05, 47H09, 47H10, 47H20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-5-54, author = {Ali , BashirAdam , Aisha Aminu and Adamu , Abubakar}, title = {An Accelerated Algorithm Involving Quasi-$\phi$-Nonexpansive Operators for Solving Split Problems}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {1}, pages = {54--72}, abstract = {

In this paper, an algorithm of inertial type for approximating solutions of split equality fixed point problems involving quasi-$\phi$-nonexpansive maps is proposed and studied in the setting of certain real Banach spaces. Weak and strong convergence theorems are proved under some conditions. Some applications of the theorems are presented. The results presented extend and improve some existing results. Finally, some numerical illustrations are presented to support our theorems and their applications.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.54}, url = {http://global-sci.org/intro/article_detail/jnma/21916.html} }
TY - JOUR T1 - An Accelerated Algorithm Involving Quasi-$\phi$-Nonexpansive Operators for Solving Split Problems AU - Ali , Bashir AU - Adam , Aisha Aminu AU - Adamu , Abubakar JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 54 EP - 72 PY - 2023 DA - 2023/08 SN - 5 DO - http://doi.org/10.12150/jnma.2023.54 UR - https://global-sci.org/intro/article_detail/jnma/21916.html KW - Fixed point, Quasi-$\phi$-nonexpansive, Inertia. AB -

In this paper, an algorithm of inertial type for approximating solutions of split equality fixed point problems involving quasi-$\phi$-nonexpansive maps is proposed and studied in the setting of certain real Banach spaces. Weak and strong convergence theorems are proved under some conditions. Some applications of the theorems are presented. The results presented extend and improve some existing results. Finally, some numerical illustrations are presented to support our theorems and their applications.

Ali , BashirAdam , Aisha Aminu and Adamu , Abubakar. (2023). An Accelerated Algorithm Involving Quasi-$\phi$-Nonexpansive Operators for Solving Split Problems. Journal of Nonlinear Modeling and Analysis. 5 (1). 54-72. doi:10.12150/jnma.2023.54
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