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Existence of Quadruple Fixed Point Results in Ordered K-Metric Space Through C-Distance with Application in Integral Equation

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Engineering Mathematics and Computing

Part of the book series: Studies in Computational Intelligence ((SCI,volume 1042))

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Abstract

In 2011, Berinde and Borcut [9] proved tripled coincidence point theorems in partially ordered metric spaces. In this article, we extend the result of Berinde et al. from tripled to quadruple in a more generalized way, i.e., we extend the result using c-distance under partially ordered cone metric space. In the end, one example is given to justify our main result. To validate our result, we also provide one application in integral equation.

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Acknowledgements

The authors are very grateful to the editor and the anonymous reviewers for the valuable comments and several useful suggestions which improved the presentation of the paper. The first author (SKG) would like to thank University Grants Commission, Govt. of India (Sr. No. 2121540966, Ref. No: 20/12/2015(ii)EU-V), for financial support.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India

    Sudipta Kumar Ghosh & C. Nahak

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  1. Sudipta Kumar Ghosh
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  2. C. Nahak
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Correspondence to Sudipta Kumar Ghosh .

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Editors and Affiliations

  1. Division of Maritime Transportation, Mokpo National Maritime University, Mokpo, Korea (Republic of)

    Park Gyei-Kark

  2. Department of Applied Sciences, Haldia Institute of Technology, Haldia, India

    Dipak Kumar Jana

  3. Department of Applied Sciences, Haldia Institute of Technology, Haldia, India

    Prabir Panja

  4. Department of Electronic Engineering, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

    Mohd Helmy Abd Wahab

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Ghosh, S.K., Nahak, C. (2023). Existence of Quadruple Fixed Point Results in Ordered K-Metric Space Through C-Distance with Application in Integral Equation. In: Gyei-Kark, P., Jana, D.K., Panja, P., Abd Wahab, M.H. (eds) Engineering Mathematics and Computing. Studies in Computational Intelligence, vol 1042. Springer, Singapore. https://doi.org/10.1007/978-981-19-2300-5_4

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  • DOI: https://doi.org/10.1007/978-981-19-2300-5_4

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