On a fuzzy bipolar metric setting with a triangular property and an application on integral equations

Gunaseelan Mani; Arul Joseph Gnanaprakasam; Khalil Javed; Eskandar Ameer; Saber Mansour; Hassen Aydi; Wajdi Kallel; Gunaseelan Mani; Arul Joseph Gnanaprakasam; Khalil Javed; Eskandar Ameer; Saber Mansour; Hassen Aydi; Wajdi Kallel

doi:10.3934/math.2023639

AIMS Mathematics

2023, Volume 8, Issue 6: 12696-12707. doi: 10.3934/math.2023639

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Research article

On a fuzzy bipolar metric setting with a triangular property and an application on integral equations

1.
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602 105, Tamil Nadu, India
2.
Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Tevhnology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram, Chennai, Tamil Nadu 603203, India
3.
Department of Mathematics and Statistics, International Islamic University Islamabad, Pakistan
4.
Department of Mathematics, Taiz University, Taiz, Yeman
5.
Department of Mathematics, Umm Al-Qura University, Faculty of Applied sciences, P.O. Box 14035, Holly Makkah 21955, Saudi Arabia; samansour@uqu.edu.sa; wfkallel@uqu.edu.sa
6.
Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
7.
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
8.
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

Received: 05 February 2023 Revised: 20 March 2023 Accepted: 26 March 2023 Published: 29 March 2023
MSC : 47H10, 54H25

In this manuscript, fixed point results without continuity via triangular notion on fuzzy bipolar metric spaces are established. The paper includes tangible examples which display the motivation for such investigations as those presented here. We solve an integral equation in this setting. The present work is a generalization of some published works.
- fixed point,
- fuzzy metric spaces,
- triangular notion,
- fuzzy bipolar metric space
Citation: Gunaseelan Mani, Arul Joseph Gnanaprakasam, Khalil Javed, Eskandar Ameer, Saber Mansour, Hassen Aydi, Wajdi Kallel. On a fuzzy bipolar metric setting with a triangular property and an application on integral equations[J]. AIMS Mathematics, 2023, 8(6): 12696-12707. doi: 10.3934/math.2023639

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Abstract

In this manuscript, fixed point results without continuity via triangular notion on fuzzy bipolar metric spaces are established. The paper includes tangible examples which display the motivation for such investigations as those presented here. We solve an integral equation in this setting. The present work is a generalization of some published works.

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