Tripled Fixed Point Approaches and Hyers-Ulam Stability With Applications

Hammad, Hasanen A.; Aydi, Hassen; De la Sen, Manuel

doi:10.28924/2291-8639-22-2024-27

Research Article

Tripled Fixed Point Approaches and Hyers-Ulam Stability With Applications

Hasanen A. Hammad
Hassen Aydi*
Manuel De la Sen

* Corresponding author

Abstract

In this paper, we present tripling fixed point results for extended contractive mappings in the context of a generalized metric space. Many publications in the literature are improved, unified, and generalized by our theoretical results. Furthermore, the Ulam-Hyers stability problem for the tripled fixed point problem in vector-valued metric spaces has been examined as a stability analysis for fixed point approaches. Finally, as a type of application to support our research, the theoretical conclusions are used to explore the existence and uniqueness of solutions to a periodic boundary value problem.

How to Cite

H. A. Hammad, H. Aydi, M. De la Sen, Tripled Fixed Point Approaches and Hyers-Ulam Stability With Applications, Int. J. Anal. Appl. 22 (2024), 27. https://doi.org/10.28924/2291-8639-22-2024-27

BibTeX

@article{Hammad2024,
  author  = {Hammad, Hasanen A. and Aydi, Hassen and De la Sen, Manuel},
  title   = {Tripled Fixed Point Approaches and Hyers-Ulam Stability With Applications},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {27},
  doi     = {10.28924/2291-8639-22-2024-27}
}

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