Tripled Fixed Point Approaches and Hyers-Ulam Stability With Applications

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DOI: https://doi.org/10.28924/2291-8639-22-2024-27
Published: Feb 5, 2024
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Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen, Tripled Fixed Point Approaches and Hyers-Ulam Stability With Applications, Int. J. Anal. Appl., 22 (2024), 27.

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

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.

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