Solving a Fredholm integral equation via coupled fixed point on bicomplex partial metric space

Gunaseelan Mani; Arul Joseph Gnanaprakasam; Khalil Javed; Muhammad Arshad; Fahd Jarad; Gunaseelan Mani; Arul Joseph Gnanaprakasam; Khalil Javed; Muhammad Arshad; Fahd Jarad

doi:10.3934/math.2022843

AIMS Mathematics

2022, Volume 7, Issue 8: 15402-15416. doi: 10.3934/math.2022843

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Research article

Solving a Fredholm integral equation via coupled fixed point on bicomplex partial metric space

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 Math & Stats, International Islamic University Islamabad, Pakistan
4.
Department of Mathematics, Cankaya Uiversity, Etimesgut 06790, Ankara, Turkey
5.
Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
6.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

Received: 16 January 2022 Revised: 15 May 2022 Accepted: 10 June 2022 Published: 20 June 2022
MSC : 47H10, 54H25

In this paper, we obtain some coupled fixed point theorems on a bicomplex partial metric space. An example and an application to support our result are presented.
- coupled fixed point,
- bicomplex partial metric space,
- Fredholm integral equations
Citation: Gunaseelan Mani, Arul Joseph Gnanaprakasam, Khalil Javed, Muhammad Arshad, Fahd Jarad. Solving a Fredholm integral equation via coupled fixed point on bicomplex partial metric space[J]. AIMS Mathematics, 2022, 7(8): 15402-15416. doi: 10.3934/math.2022843

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Abstract

In this paper, we obtain some coupled fixed point theorems on a bicomplex partial metric space. An example and an application to support our result are presented.

References

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