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Coincidence Fixed‐Point Theorems for p‐Hybrid Contraction Mappings in Gb‐Metric Space with Application

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  • Lucas Wangwe

Abstract

By combining the notions of G‐metric space and b‐metric space, in this paper, we present coincidence fixed‐point theorems for p‐hybrid mappings in Gb‐metric spaces. An example is given to demonstrate the novelty of our main results. Henceforth, the illustrative applications are given by using nonlinear fractional differential equations.

Suggested Citation

  • Lucas Wangwe, 2022. "Coincidence Fixed‐Point Theorems for p‐Hybrid Contraction Mappings in Gb‐Metric Space with Application," Abstract and Applied Analysis, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlaaa:v:2022:y:2022:i:1:n:7688168
    DOI: 10.1155/2022/7688168
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    References listed on IDEAS

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    1. Sunny Chauhan & Muhammad Alamgir Khan & Zoran Kadelburg & Mohammad Imdad, 2014. "Unified Common Fixed Point Theorems for a Hybrid Pair of Mappings via an Implicit Relation Involving Altering Distance Function," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, January.
    2. Erdal Karapınar & Hassen Aydi & Andreea Fulga & Ljubisa Kocinac, 2020. "On p-Hybrid Wardowski Contractions," Journal of Mathematics, Hindawi, vol. 2020, pages 1-8, August.
    3. Haitham Qawaqneh & Mohd Salmi Md Noorani & Wasfi Shatanawi & Hassen Aydi & Habes Alsamir, 2019. "Fixed Point Results for Multi-Valued Contractions in b −Metric Spaces and an Application," Mathematics, MDPI, vol. 7(2), pages 1-13, February.
    4. Praveen Agarwal & Mohamed Jleli & Bessem Samet, 2018. "Fixed Point Theory in Metric Spaces," Springer Books, Springer, number 978-981-13-2913-5, March.
    5. Sunny Chauhan & Muhammad Alamgir Khan & Zoran Kadelburg & Mohammad Imdad, 2014. "Unified Common Fixed Point Theorems for a Hybrid Pair of Mappings via an Implicit Relation Involving Altering Distance Function," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
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