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A note on a new class of contractive mappings

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Abstract

In this note, some observations have been reported on a recent work of Popescu [7].

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References

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  2. J. Górnicki, fixed point theorems for Kannan type mappings, J. Fixed Point Theory Appl., 19 (2017), 2145–2152.

  3. J. Górnicki, Remarks on asymptotic regularity and fixed points, J. Fixed Point Theory Appl., 21 (2019), No. 29, 20 pp.

  4. R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc., 60 (1968), 71–76.

  5. R. P. Pant, Common fixed points of Lipschitz type mapping pairs, J. Math. Anal. Appl., 240 (1999), 280–283.

  6. A. Pant, R. P. Pant and M. C. Joshi, Fixed point under a new commuting condition, Recent Advances in Fixed Point Theory, Nova Science Publishers, Inc. (New York, 2017).

  7. O. Popescu, A new class of contractive mappings, Acta Math. Hungar., 164 (2021), 570–579.

  8. B. E. Rhoades, A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc., 226 (1977), 257–290.

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Acknowledgement

The author is thankful to the learned referee for critical observations and valuable suggestions for improving the content of the paper.

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Correspondence to R. K. Bisht.

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Bisht, R.K. A note on a new class of contractive mappings. Acta Math. Hungar. 166, 97–102 (2022). https://doi.org/10.1007/s10474-021-01195-x

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  • DOI: https://doi.org/10.1007/s10474-021-01195-x

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