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Extensions of Kannan contraction via w-distances

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Abstract

In this paper, we introduce and study some fixed point results for \(\phi \)-Kannan contractions in metric spaces with w-distance. Among other things, we have recovered Suzuki’s (Yokohama Math 44:61–72, 1997) results for p-Kannan contractions. Some examples and consequences are also presented to illustrate our results.

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Acknowledgements

The authors are thankful to the anonymous referees for the useful suggestions and remarks that contributed to the improvement of the manuscript.

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Correspondence to Vladimir Rakočević.

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This work has been financially supported by the Payame Noor University (PNU), I.R. of Iran under the first author Grant. The second author is supported By Grant No. 174025 of the Ministry of Science and Technology and Development, Republic of Serbia.

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Lakzian, H., Rakočević, V. & Aydi, H. Extensions of Kannan contraction via w-distances. Aequat. Math. 93, 1231–1244 (2019). https://doi.org/10.1007/s00010-019-00673-6

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  • DOI: https://doi.org/10.1007/s00010-019-00673-6

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