DOAJ Open Access 2024

On a new generalization of a Perov-type F-contraction with application to a semilinear operator system

Muhammad Sarwar Syed Khayyam Shah Kamaleldin Abodayeh Arshad Khan Ishak Altun

Abstrak

Abstract This manuscript aims to present new results about the generalized F-contraction of Hardy–Rogers-type mappings in a complete vector-valued metric space, and to demonstrate the fixed-point theorems for single and pairs of generalized F-contractions of Hardy–Rogers-type mappings. The established results represent a significant development of numerous previously published findings and results in the existing body of literature. Furthermore, to ensure the practicality and effectiveness of our findings across other fields, we provide an application that demonstrates a unique solution for the semilinear operator system within the Banach space.

Topik & Kata Kunci

Applied mathematics. Quantitative methods Analysis

Penulis (5)

Muhammad Sarwar

Syed Khayyam Shah

Kamaleldin Abodayeh

Arshad Khan

Ishak Altun

Format Sitasi

APA MLA BibTeX

Sarwar, M., Shah, S.K., Abodayeh, K., Khan, A., Altun, I. (2024). On a new generalization of a Perov-type F-contraction with application to a semilinear operator system. https://doi.org/10.1186/s13663-024-00762-5

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.1186/s13663-024-00762-5
Akses: Open Access ✓