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Integral type common fixed point theorems in modified intuitionistic fuzzy metric spaces

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Abstract

A-subsequential continuity, A-compatibility of type (E), compatibility of type (E) and weak subsequential continuity in a intuitionistic fuzzy metric space are introduced and the applicability of these notions in establishing the unique common fixed point is demonstrated. An example is given to outline our outcomes and the system of Fredholm equations is resolved as an application of our conclusions.

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Acknowledgements

The authors are grateful to the anonymous referees for their precise remarks and suggestions which led to the improvement of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Exact Sciences Faculty, University of El-Oued, P.O. Box 789, 39000, El-Oued, Algeria

    Said Beloul

  2. Department of Mathematics, Government P.G. College, Dakpathar, Dehradun, India

    Anita Tomar

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  1. Said Beloul
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  2. Anita Tomar
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Correspondence to Said Beloul.

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Beloul, S., Tomar, A. Integral type common fixed point theorems in modified intuitionistic fuzzy metric spaces. Afr. Mat. 30, 581–596 (2019). https://doi.org/10.1007/s13370-019-00668-1

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  • DOI: https://doi.org/10.1007/s13370-019-00668-1

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