| Title: |
Well-Posedness Scheme for Coupled Fixed-Point Problems Using Generalized Contractions |
| Authors: |
Dur-e-Shehwar Sagheer; Isma Urooj; Samina Batul; Ahmad Aloqaily; Nabil Mlaiki |
| Source: |
Axioms, Vol 12, Iss 6, p 523 (2023) |
| Publisher Information: |
MDPI AG |
| Publication Year: |
2023 |
| Collection: |
Directory of Open Access Journals: DOAJ Articles |
| Subject Terms: |
Hilbert spaces; asymptotically regular sequences; coupled implicit relations; coupled fixed points; common coupled fixed points; well-posedness; Mathematics; QA1-939 |
| Description: |
In this study, we present a more general class of rational-type contractions in the domain of Hilbert spaces, along with a novel coupled implicit relation. We develop several intriguing results and consequences for the existence of unique coupled fixed points. Further, we investigate a necessary condition that guarantees the well-posedness of a coupled fixed-point problem of self-mappings in Hilbert spaces. Some new observations proposed in this research broaden and extend previously published results in the literature. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
https://www.mdpi.com/2075-1680/12/6/523; https://doaj.org/toc/2075-1680; https://doaj.org/article/6e65ee3af64541a49a58d304b06eaf25 |
| DOI: |
10.3390/axioms12060523 |
| Availability: |
https://doi.org/10.3390/axioms12060523; https://doaj.org/article/6e65ee3af64541a49a58d304b06eaf25 |
| Accession Number: |
edsbas.D3F3C260 |
| Database: |
BASE |