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Research Article | Open Access

On solution of Fredholm integral equations via fuzzy b-metric spaces using triangular property

Gunaseelan Mani1, Arul Joseph Gnanaprakasam2, Absar Ul Haq3, Imran Abbas Baloch4,5( ), Choonkil Park6( )
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India
Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Kanchipuram, Chennai, Tamil Nadu, India
Department of Natural Sciences and Humanities, University of Engineering and Technology (Narowal Campus), Lahore 54000, Pakistan
Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
Higher Education Department, Govt. Graduate College for Boys Gulberg Lahore, Punjab, Pakistan
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
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Abstract

In the present paper, we prove common fixed point without continuity by using triangular property on fuzzy b-metric space. Our results generalize and expand some of the literature's well-known results. We also explore some of the application of our key results to Fredholm integral equation.

Keywords

fuzzy metric spacesfuzzy b-metric spacecommon fixed point
CLC number: 54H25, 47H10

References

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AIMS Mathematics
Volume 7 Issue 6,
June 2022
Pages 11102-11118
DOI: 10.3934/math.2022620

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Cite this article:
Mani G, Gnanaprakasam AJ, Haq AU, et al. On solution of Fredholm integral equations via fuzzy b-metric spaces using triangular property. AIMS Mathematics, 2022, 7(6): 11102-11118. https://doi.org/10.3934/math.2022620

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Received: 07 February 2022
Revised: 07 February 2022
Accepted: 31 March 2022
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)