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Suzuki type P-contractive mappings

Year 2023, Volume: 5 Issue: 1, 1 - 4, 18.07.2023
https://doi.org/10.47086/pims.1205921

Abstract

We introduce Suzuki type P-contractive mappings by taking into account the concepts of contractive, P-contractive, and Suzuki type contractive mappings. Then, for such mappings on compact metric spaces, we present a fixed point theorem that is more general than the well-known Edelstein fixed point theorem.

References

  • R.P. Agarwal, D. O’Regan, D.R. Sahu, Fixed Point Theory for Lipschitzian-type Mappings and Applications, Springer, New York, 2009.
  • I. Altun, G. Durmaz, M. Olgun, P-contractive mappings on metric spaces, Journal of Nonlinear Functional Analysis, 2018 (2018), Article ID 43, pp. 1-7.
  • I. Altun, H.A. Hancer, Almost Piacrd operators, AIP Conference Proceedings 2183, 060003 (2019); https://doi.org/10.1063/1.5136158
  • M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962) 74-79.
  • T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313-5317.
Year 2023, Volume: 5 Issue: 1, 1 - 4, 18.07.2023
https://doi.org/10.47086/pims.1205921

Abstract

References

  • R.P. Agarwal, D. O’Regan, D.R. Sahu, Fixed Point Theory for Lipschitzian-type Mappings and Applications, Springer, New York, 2009.
  • I. Altun, G. Durmaz, M. Olgun, P-contractive mappings on metric spaces, Journal of Nonlinear Functional Analysis, 2018 (2018), Article ID 43, pp. 1-7.
  • I. Altun, H.A. Hancer, Almost Piacrd operators, AIP Conference Proceedings 2183, 060003 (2019); https://doi.org/10.1063/1.5136158
  • M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962) 74-79.
  • T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313-5317.
There are 5 citations in total.

Details

Primary Language English
Subjects Software Engineering (Other)
Journal Section Articles
Authors

İshak Altun 0000-0002-7967-0554

Early Pub Date July 17, 2023
Publication Date July 18, 2023
Acceptance Date November 24, 2022
Published in Issue Year 2023 Volume: 5 Issue: 1

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