An interesting approach to the existence of coupled fixed point

Pulak Konar; Sumit Chandok; Samir Kumar Bhandari; Manuel De la Sen; Pulak Konar; Sumit Chandok; Samir Kumar Bhandari; Manuel De la Sen

doi:10.3934/math.2021134

AIMS Mathematics

2021, Volume 6, Issue 3: 2217-2227. doi: 10.3934/math.2021134

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Research article

An interesting approach to the existence of coupled fixed point

1.
Department of Mathematics, Amity University, Kadampukur, 24PGS(N), Kolkata, West Bengal, 700135, India
2.
School of Mathematics, Thapar Institute of Engineering & Technology, Patiala 147-004, Punjab, India
3.
Department of Mathematics, Bajkul Milani Mahavidyalaya, P.O- Kismat Bajkul, Dist-Purba Medinipur, Bajkul, West Bengal-721655, India
4.
Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, Leioa (Bizkaia), PO Box 48940, Spain

Received: 17 August 2020 Accepted: 03 December 2020 Published: 11 December 2020
MSC : 47H10, 54H25

Configure a coupled fixed point result on a nonempty set engaging a partial order and induced with a quasi-metric in the sense of Kunzi ^[12] in the framework of $\mathcal{G}$-metric spaces. Our result is supported by an illustrative example.
- $\mathcal{G}$-metric space,
- Quasi-metric space,
- coupled fixed point,
- $\mathcal{G}$-Cauchy sequence,
- partial order
Citation: Pulak Konar, Sumit Chandok, Samir Kumar Bhandari, Manuel De la Sen. An interesting approach to the existence of coupled fixed point[J]. AIMS Mathematics, 2021, 6(3): 2217-2227. doi: 10.3934/math.2021134

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Abstract

Configure a coupled fixed point result on a nonempty set engaging a partial order and induced with a quasi-metric in the sense of Kunzi ^[12] in the framework of $\mathcal{G}$-metric spaces. Our result is supported by an illustrative example.

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