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Fixed point theorems of contraction mappings in complete b-metric space of zero at infinity varieties

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Abstract

In this paper, we present some fixed point theorems for a class of contractive mappings in complete b-metric spaces of zero at infinity varieties. We verify the T-stability of Picard’s iteration and the P property for such mapping.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Bu-Ali Sina University, 65178, Hamedan, Iran

    Ghorban Khalilzadeh Ranjbar & Mohammad Esmael Samei

  2. Science Branch, Islamic Azad University, Tehran, Iran

    Farhad Hosseinzadeh Lotfi

  3. Department of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz, Iran

    Shahram Rezapour

  4. Department of Medical Research, China University Hospital, China Medical University, Taichung, Taiwan

    Shahram Rezapour

Authors
  1. Ghorban Khalilzadeh Ranjbar
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  2. Farhad Hosseinzadeh Lotfi
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  3. Mohammad Esmael Samei
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  4. Shahram Rezapour
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All authors contributed equally and significantly in this manuscript, and they read and approved the final manuscript.

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Correspondence to Ghorban Khalilzadeh Ranjbar.

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Ranjbar, G.K., Lotfi, F.H., Samei, M.E. et al. Fixed point theorems of contraction mappings in complete b-metric space of zero at infinity varieties. Afr. Mat. 32, 229–239 (2021). https://doi.org/10.1007/s13370-020-00822-0

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  • DOI: https://doi.org/10.1007/s13370-020-00822-0

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