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Common Fixed Point Theorems for F‐Kannan–Suzuki Type Mappings in TVS‐Valued Cone Metric Space with Some Applications

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  • Lucas Wangwe
  • Santosh Kumar

Abstract

This research paper generalizes and extends various fixed‐point results that demonstrate common fixed‐point theorems for F‐Kannan–Suzuki type mappings in TVS‐valued cone metric spaces. The results are supported using interpretative exemplifications and applications that include nonlinear fractional as well as two‐point periodic ordinary differential equations.

Suggested Citation

  • Lucas Wangwe & Santosh Kumar, 2022. "Common Fixed Point Theorems for F‐Kannan–Suzuki Type Mappings in TVS‐Valued Cone Metric Space with Some Applications," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:6504663
    DOI: 10.1155/2022/6504663
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    References listed on IDEAS

    as
    1. Ismat Beg & Akbar Azam & Muhammad Arshad, 2009. "Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-8, January.
    2. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
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    Cited by:

    1. Swati Parashar & Manoj Kumar & Pankaj Kumar & Rahul Shukla, 2025. "Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).

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