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

10.30495/maca.2024.2030384.1101
Volume 6, Issue 2
Spring 2024
Pages 61-70

Document Type : Original Article

Authors

1 System Dynamics and Control Laboratory, Department of Mathematics and Informatics, OEB University, Algeria

2 Oum El Bouaghi city, Algeria Department of mathematics and computer science, OEB University, Algeria

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

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  • Receive Date 27 May 2024
  • Revise Date 16 July 2024
  • Accept Date 16 July 2024