A New Extension of CJ Metric Spaces—Partially Controlled J Metric Spaces

Subhi Aiadi, Suhad; Mior Othman, Wan Ainun; Wong, Kok Bin; Mlaiki, Nabil

doi:10.3390/math11132973

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A New Extension of C_J Metric Spaces—Partially Controlled J Metric Spaces

¹

Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

²

Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia

^*

Authors to whom correspondence should be addressed.

Mathematics 2023, 11(13), 2973; https://doi.org/10.3390/math11132973

Submission received: 6 June 2023 / Revised: 29 June 2023 / Accepted: 30 June 2023 / Published: 3 July 2023

(This article belongs to the Special Issue Fixed Point Theory and Its Applications in Nonlinear Analysis and Optimization)

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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”.

Keywords: CJ metric spaces; partially controlled J metric spaces; fixed point; fractional differential equations

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MDPI and ACS Style

Subhi Aiadi, S.; Mior Othman, W.A.; Wong, K.B.; Mlaiki, N. A New Extension of C_J Metric Spaces—Partially Controlled J Metric Spaces. Mathematics 2023, 11, 2973. https://doi.org/10.3390/math11132973

AMA Style

Subhi Aiadi S, Mior Othman WA, Wong KB, Mlaiki N. A New Extension of C_J Metric Spaces—Partially Controlled J Metric Spaces. Mathematics. 2023; 11(13):2973. https://doi.org/10.3390/math11132973

Chicago/Turabian Style

Subhi Aiadi, Suhad, Wan Ainun Mior Othman, Kok Bin Wong, and Nabil Mlaiki. 2023. "A New Extension of C_J Metric Spaces—Partially Controlled J Metric Spaces" Mathematics 11, no. 13: 2973. https://doi.org/10.3390/math11132973

APA Style

Subhi Aiadi, S., Mior Othman, W. A., Wong, K. B., & Mlaiki, N. (2023). A New Extension of C_J Metric Spaces—Partially Controlled J Metric Spaces. Mathematics, 11(13), 2973. https://doi.org/10.3390/math11132973

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A New Extension of C_J Metric Spaces—Partially Controlled J Metric Spaces

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