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Strong coupled fixed points of Perov type contractive mappings via c-distance

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Abstract

Existence and uniqueness of strong coupled fixed points for different classes of Perov type couplings in the setup of cone metric spaces equipped with c-distances are obtained. Some examples are presented to support the results proved herein. We also study the well-posedness of strong coupled fixed point problem. Our results generalize and extend various comparable results in the existing literature.

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Acknowledgements

The authors are very grateful to the referees for their valuable suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Government College University, Lahore, 54000, Pakistan

    Mujahid Abbas

  2. Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield campus, Pretoria, South Africa

    Mujahid Abbas

  3. Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, 22060, Pakistan

    Talat Nazir

  4. Department of Mathematics, Faculty of Sciences and Mathematics, University of Niš, Niš, 18000, Serbia

    Vladimir Rakočević

Authors
  1. Mujahid Abbas
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  2. Talat Nazir
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  3. Vladimir Rakočević
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Correspondence to Vladimir Rakočević.

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Vladimir Rakočević is supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia, Grant no. 174025.

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Abbas, M., Nazir, T. & Rakočević, V. Strong coupled fixed points of Perov type contractive mappings via c-distance. Boll Unione Mat Ital 13, 155–168 (2020). https://doi.org/10.1007/s40574-019-00210-y

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