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

Authors

• Suhad Subhi Aiadi
• Wan Ainun Mior OthmanFollow
• Kok Bin WongFollow
• Nabil Mlaiki

Document Type

Article

Publication Date

7-1-2023

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''.

Keywords

CJ metric spaces, Partially controlled J metric spaces, Fixed point, Fractional differential equations

Publication Title

Mathematics

Recommended Citation

Subhi Aiadi, Suhad; Othman, Wan Ainun Mior; Wong, Kok Bin; and Mlaiki, Nabil, "A new extension of CJ metric spaces-partially controlled J metric spaces" (2023). Research Publications (2021 to 2025). 3273.
https://knova.um.edu.my/research_publications_2021_2025/3273

Divisions

MathematicalSciences

Funders

None

Volume

11

Issue

13

Publisher

MDPI

Publisher Location

ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND