A new extension of CJ metric spaces-partially controlled J metric spaces

Subhi Aiadi, Suhad and Othman, Wan Ainun Mior and Wong, Kok Bin and Mlaiki, Nabil (2023) A new extension of CJ metric spaces-partially controlled J metric spaces. Mathematics, 11 (13). ISSN 2227-7390, DOI https://doi.org/10.3390/math11132973.

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Abstract

This article introduces the concept of partially controlled J metric spaces; in particular, the J metric space with self-distance is not necessarily zero, which is important in computer science. We prove the existence of a unique fixed point for linear and nonlinear contractions, provide some examples to prove the existence of this metric space, and present some important applications in fractional differential equations, i.e., ``Riemann-Liouville derivatives''.

Item Type: Article
Funders: None
Uncontrolled Keywords: CJ metric spaces; Partially controlled J metric spaces; Fixed point; Fractional differential equations
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 11 Oct 2025 06:36
Last Modified: 11 Oct 2025 06:36
URI: http://eprints.um.edu.my/id/eprint/48225

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