On a fuzzy bipolar metric setting with a triangular property and an application on integral equations-Reference-Cited by-同舟云学术

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

Published:2023 Issue:6 Volume:8 Page:12696-12707
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mani Gunaseelan¹,Gnanaprakasam Arul Joseph²,Javed Khalil³,Ameer Eskandar⁴,Mansour Saber⁵,Aydi Hassen⁶⁷⁸,Kallel Wajdi⁵

Affiliation:

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference19 articles.

1. B. Schweizer, A. Sklar, Statistical metric spaces, Pacific J. Math., 10 (1960), 313–334. http://dx.doi.org/10.2140/pjm.1960.10.313

2. L. A. Zadeh, Fuzzy sets, Inf. Control, 8 (1965), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X

3. I. Kramosil, J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica, 11 (1975), 326–334.

4. M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets Syst., 27 (1988), 385–389. https://doi.org/10.1016/0165-0114(88)90064-4

5. V. Gregori, A. Sapena, On fixed point theorems in fuzzy metric spaces, Fuzzy Sets Syst., 125 (2002), 245–252. https://doi.org/10.1016/S0165-0114(00)00088-9

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