Affiliations: [a] Department of Mathematics, Faculty of Science, Assuit University, Assuit, Egypt
| [b] Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
Correspondence:
[*]
Corresponding author. H.A. Hammad, Department of Mathematics,
Faculty of Science, Sohag University, Sohag 82524, Egypt. E-mail: hassanein_hamad@science.sohag.edu.eg.
Abstract: In this manuscript, the concept of a cyclic tripled type fuzzy cone contraction mapping in the setting of fuzzy cone metric spaces is introduced. Also, some theoretical results concerned with tripled fixed points are given without a mixed monotone property in the mentioned space. Moreover, under this concept, some strong tripled fixed point results are obtained. Ultimately, to support the theoretical results non-trivial examples are listed and the existence of a unique solution to a system of integral equations is presented as an application.
Keywords: Strong tripled fixed point, fuzzy cone metric space, contraction condition, integral equation, cyclic tripled type fuzzy cone contraction mapping
