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Some relations between n-tuple fixed point and fixed point results

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Abstract

In this paper, we compare relation between n-tuple fixed point results and fixed point theorems in abstract metric spaces and metric-like spaces. Actually, we show that the results of n-tuple fixed point can be obtained from fixed point theorems and conversely. Thus, some recent results about both fixed points and n-tuple fixed points are equivalent against the claims of some authors.

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Acknowledgments

The authors are grateful to the editor-in-chief and referees for their accurate reading and their helpful suggestions. Also, the first and the third authors would like to thank the Central Tehran Branch of Islamic Azad University for financial support. Moreover, the second author thanks to Professor Mahesh Kumar Dube for his continuous encouragement and guidance.

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Authors and Affiliations

  1. Young Researchers and Elite club, Central Tehran Branch, Islamic Azad University, Tehran, Iran

    Ghasem Soleimani Rad

  2. Department of Applied Mathematics, Shri Vaishnav Institute of Technology and Science, Indore, 453331, MP, India

    Satish Shukla

  3. Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P.O. Box 13185/768, Tehran, Iran

    Ghasem Soleimani Rad & Hamidreza Rahimi

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  1. Ghasem Soleimani Rad
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Soleimani Rad, G., Shukla, S. & Rahimi, H. Some relations between n-tuple fixed point and fixed point results. RACSAM 109, 471–481 (2015). https://doi.org/10.1007/s13398-014-0196-0

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