Solving an integral equation vian orthogonal neutrosophic rectangular metric space

Gunaseelan Mani; Arul Joseph Gnanaprakasam; Vidhya Varadharajan; Fahd Jarad; Gunaseelan Mani; Arul Joseph Gnanaprakasam; Vidhya Varadharajan; Fahd Jarad

doi:10.3934/math.2023189

AIMS Mathematics

2023, Volume 8, Issue 2: 3791-3825. doi: 10.3934/math.2023189

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Research article

Solving an integral equation vian orthogonal neutrosophic rectangular metric space

1.
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India
2.
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
3.
Department of Mathematics, School of Advanced Sciences, VIT-Chennai-600127, India
4.
Department of Mathematics, Çankaya University, Etimesgut 06790, Ankara, Turkey
5.
Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Received: 07 October 2022 Revised: 13 November 2022 Accepted: 22 November 2022 Published: 28 November 2022
MSC : 47H10, 54H25

In this paper, we introduce the notion of an orthogonal neutrosophic rectangular metric space and prove fixed point theorems. We extend some of the well-known results in the literature. As applications of the main results, we apply our main results to show the existence of a unique solution.
- neutrosophic metric space,
- neutrosophic rectangular metric space,
- orthogonal neutrosophic rectangular metric space,
- fixed point results,
- integral equation
Citation: Gunaseelan Mani, Arul Joseph Gnanaprakasam, Vidhya Varadharajan, Fahd Jarad. Solving an integral equation vian orthogonal neutrosophic rectangular metric space[J]. AIMS Mathematics, 2023, 8(2): 3791-3825. doi: 10.3934/math.2023189

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Abstract

In this paper, we introduce the notion of an orthogonal neutrosophic rectangular metric space and prove fixed point theorems. We extend some of the well-known results in the literature. As applications of the main results, we apply our main results to show the existence of a unique solution.

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