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Common fixed points for generalized \(\left( \alpha {-}\psi \right)\)-Meir–Keeler–Khan mappings in metric spaces

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Abstract

In this article, we prove a common fixed point results for two pairs of weakly compatible self-mappings in a complete metric space satisfying \(\left( \alpha ,\psi \right)\)-Meir–Keeler–Khan type contractive condition. We present an example to illustrate main result. Some other results and consequences are also given. These results generalize some classical results in the current literature.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad, 44000, Pakistan

    Muhammad Arshad, Shaif Alshoraify & Eskandar Ameer

  2. Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan

    Abdullah Shoaib

Authors
  1. Muhammad Arshad
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  2. Shaif Alshoraify
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  3. Abdullah Shoaib
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  4. Eskandar Ameer
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Correspondence to Shaif Alshoraify.

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Arshad, M., Alshoraify, S., Shoaib, A. et al. Common fixed points for generalized \(\left( \alpha {-}\psi \right)\)-Meir–Keeler–Khan mappings in metric spaces. J Anal 29, 1–14 (2021). https://doi.org/10.1007/s41478-020-00244-y

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  • DOI: https://doi.org/10.1007/s41478-020-00244-y

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