Abstract
The concept of resolvent operator associated with a P-Η-accretive mapping is used in constructing of a new iterative algorithm for solving a new system of generalized multi-valued resolvent equations in the framework of Banach spaces. The convergence analysis of the sequences generated by our proposed iterative algorithm under some appropriate conditions is studied. The results presented in this paper are new, and improve and generalize many known corresponding results.
| Original language | English |
|---|---|
| Pages (from-to) | 771-784 |
| Number of pages | 14 |
| Journal | Carpathian Journal of Mathematics |
| Volume | 41 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2025 |
Bibliographical note
Publisher Copyright:© 2025, SINUS Association. All rights reserved.
Keywords
- Convergence analysis
- Iterative algorithm
- Resolvent operator
- System of generalized multi-valued resolvent equations
- System of generalized variational inclusions
ASJC Scopus subject areas
- General Mathematics