10.30495/maca.2024.2030384.1101

Exploring integral-type theorems through fixed-point iteration with C-class functions

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  • Soumia Bagui1,
  • Taieb Hamaizia2,
  1. System Dynamics and Control Laboratory, Department of Mathematics and Informatics, OEB University, Algeria
  2. Department of Mathematics and Computer Science, OEB University, Oum El Bouaghi, Algeria

Published in Issue 2024-03-20

How to Cite

Exploring integral-type theorems through fixed-point iteration with C-class functions. (2024). Mathematical Analysis and Its Contemporary Applications, 6(2). https://doi.org/10.30495/maca.2024.2030384.1101

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Abstract

In this paper, the concept of C-class functions is used to establish the existence and uniqueness of a fixed point for a self-map of integral type within a complete metric space. The theoretical foundation is presented and the results are exemplified through a specific case. Lastly, an illustration is given to demonstrate the validity of our results.

Keywords

  • Metric space,
  • C-class function,
  • Integral type
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References

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