Some research directions in fibre contraction theory and its applications
In this paper, we will discuss the fixed point theory of triangular operators in the setting of generalized metric spaces and for contraction type operators. Global asymptotic stability of the fixed point, well-posedness of the fixed point problem, Ulam-Hyers stability and Ostrowski property are investigated. Some applications of the basic fibre contraction principles are also considered.
Authors
- Adrian Petruşel (ORCID: https://orcid.org/0000-0002-5629-5667)
- Marcel-Adrian Şerban (ORCID: https://orcid.org/0000-0001-9222-7402)
- Ioan A. Rus
Publication Details
- Journal
- Mathematica
- Published
- 2025-05-25
- DOI
- https://doi.org/10.24193/mathcluj.2025.1.09
- Primary Topic
- Vibration and Dynamic Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00