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Integral Equations Approach in Complex‐Valued Generalized b‐Metric Spaces

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Listed:
  • Shahid Mehmood
  • Saif Ur Rehman
  • Ihsan Ullah
  • Rashad A. R. Bantan
  • Mohammed Elgarhy

Abstract

In this paper, we study a rational type common fixed‐point theorem (CFP theorem) in complex‐valued generalized b‐metric spaces (Gb‐metric spaces) by using three self‐mappings under the generalized contraction conditions. We find CFP and prove its uniqueness. To justify our result, we provide an illustrative example. Furthermore, we present a supportive application of the three Urysohn type integral equations (UTIEs) for the validity of our result. The UTIEs are

Suggested Citation

  • Shahid Mehmood & Saif Ur Rehman & Ihsan Ullah & Rashad A. R. Bantan & Mohammed Elgarhy, 2022. "Integral Equations Approach in Complex‐Valued Generalized b‐Metric Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:7454498
    DOI: 10.1155/2022/7454498
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    References listed on IDEAS

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    1. Tatjana Došenović & Manuel De La Sen & Ljiljana Paunović & Dušan Rakić & Stojan Radenović & Jen-Chih Yao, 2021. "Some New Observations on Generalized Contractive Mappings and Related Results in b-Metric-Like Spaces," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, March.
    2. Thabet Abdeljawad & Nabil Mlaiki & Hassen Aydi & Nizar Souayah, 2018. "Double Controlled Metric Type Spaces and Some Fixed Point Results," Mathematics, MDPI, vol. 6(12), pages 1-10, December.
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