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Journals / Proceedings of International Mathematical Sciences / 2026 / Volume: 5 Issue: 1

Suzuki type P-contractive mappings

İshak Altun(Kırıkkale University, Faculty of Science and Arts, Department of Mathematics)0000-0002-7967-0554
Pages
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Publication Date
2023-07-18
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

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Objective & Hypothesis:We introduce Suzuki type P-contractive mappings by taking into account the concepts of contractive, P-contractive, and Suzuki type contractive mappings.
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Key Findings & Data:We introduce Suzuki type P-contractive mappings by taking into account the concepts of contractive, P-contractive, and Suzuki type contractive mappings.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fixed point · contractive mapping · compact metric space

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.

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Cite This Article

Altun, İ. (2023). Suzuki type P-contractive mappings. Proceedings of International Mathematical Sciences, Volume: 5 Issue: 1. https://doi.org/10.47086/pims.1205921

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References (5)

  1. R.P. Agarwal, D. O’Regan, D.R. Sahu, Fixed Point Theory for Lipschitzian-type Mappings and Applications, Springer, New York, 2009.
  2. 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.
  3. I. Altun, H.A. Hancer, Almost Piacrd operators, AIP Conference Proceedings 2183, 060003 (2019); https://doi.org/10.1063/1.5136158
  4. M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962) 74-79.
  5. T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313-5317.