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Fixed Point Results for Cyclic Contraction Mapping in Non-triangular Metric Spaces

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Advances in Mathematical Modelling, Applied Analysis and Computation (ICMMAAC 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 953))

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Abstract

Cyclic contraction mapping was first described by Rus [11]. Some fixed-point findings for cyclic-contraction mappings on a metric space were established by Pacurar and Rus, [11]. For cyclic weak-contraction mappings, Karapinar [10] discovered a unique fixed point and investigated the well-posedness of the problem. On the other hand, Khojasteh and Khandani presented the idea of a non-triangular metric space (ntms) in [8] In the context of ntms, we begin our investigation into fixed points of cyclic contraction in this paper. We also provide a few examples to support the findings.

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Authors and Affiliations

  1. Department of Mathematics, S. V. National Institute of Technology, Surat, 395007, Gujarat, India

    Jayesh Savaliya & Shailesh Kumar Srivastava

  2. Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, 495009, Chhattisgarh, India

    Dhananjay Gopal

Authors
  1. Jayesh Savaliya
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  2. Dhananjay Gopal
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  3. Shailesh Kumar Srivastava
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Corresponding author

Correspondence to Jayesh Savaliya .

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Editors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, Rajasthan, India

    Jagdev Singh

  2. Department of Mathematics, University of Memphis, Memphis, TN, USA

    George A. Anastassiou

  3. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

    Dumitru Baleanu

  4. Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, India

    Devendra Kumar

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Savaliya, J., Gopal, D., Srivastava, S.K. (2024). Fixed Point Results for Cyclic Contraction Mapping in Non-triangular Metric Spaces. In: Singh, J., Anastassiou, G.A., Baleanu, D., Kumar, D. (eds) Advances in Mathematical Modelling, Applied Analysis and Computation . ICMMAAC 2023. Lecture Notes in Networks and Systems, vol 953. Springer, Cham. https://doi.org/10.1007/978-3-031-56304-1_5

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  • DOI: https://doi.org/10.1007/978-3-031-56304-1_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-56303-4

  • Online ISBN: 978-3-031-56304-1

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