Fixed Point Results for Generalized $\alpha$-Admissible Almost Type $\mathcal{Z}$-Contractions

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Authors

  • Jia Deng College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China Author
  • Xiao-lan Liu College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China; Artificial Intelligence Key Laboratory of Sichuan Province, Zigong, Sichuan 643000, China; South Sichuan Center for Applied Mathematics, Zigong, Sichuan 643000, China Author
  • Yan Sun College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China Author

DOI:

https://doi.org/10.5890/DNC.2023.09.001

Abstract

In this article, we present several types of generalized $\alpha$-admissible almost type $\mathcal{Z}$-contractions, which can be considered as the generalizations of $\alpha$-admissible $\mathcal{Z}$-contractions and almost $\mathcal{Z}$-contractions, and obtain the fixed point results of these contractions in complete metric spaces. Moreover, we utilize some examples to verify the validity of main results. Finally, we give some fixed point results related to our results.

References

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PublishedSeptember 2023

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How to Cite

Deng, J., Liu, X.- lan, & Sun, Y. (2026). Fixed Point Results for Generalized $\alpha$-Admissible Almost Type $\mathcal{Z}$-Contractions. Discontinuity, Nonlinearity, and Complexity, 12(3), 469-483. https://doi.org/10.5890/DNC.2023.09.001