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Common fixed points of Chatterjea type fuzzy mappings on closed balls

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Abstract

We establish some common fixed point theorems for Chatterjea fuzzy mappings on closed balls in a complete metric space. Our investigation is based on the fact that fuzzy fixed point results can be obtained simply from the fixed point theory of mappings on closed balls. In real-world problems, there are various mathematical models in which the mappings are contractive on the subsets of a space under consideration but not on the whole space itself. It seems that this technique of finding the fuzzy fixed points was ignored. Our results generalize several important results of the literature.

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Acknowledgments

The present version owes much to the precise and kind remarks of anonymous referees.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Chack Shahzad, Islamabad, 44000, Pakistan

    Akbar Azam & Saqib Hussain

  2. Department of Mathematics, International Islamic University, H-10, Islamabad, 44000, Pakistan

    Muhammad Arshad

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  1. Akbar Azam
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  2. Saqib Hussain
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  3. Muhammad Arshad
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Correspondence to Muhammad Arshad.

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Azam, A., Hussain, S. & Arshad, M. Common fixed points of Chatterjea type fuzzy mappings on closed balls. Neural Comput & Applic 21 (Suppl 1), 313–317 (2012). https://doi.org/10.1007/s00521-012-0907-4

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  • DOI: https://doi.org/10.1007/s00521-012-0907-4

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