A Generalization of Fixed-Point Theorems for Mappings with a Contractive Iterate
In this paper, a generalization of fixed-point mappings with an iterate at a point in complete metric spaces is shown, using the notions of T-closed sets and i-P-regularity/d-P-regularity, proving conditions for the existence and uniqueness of the fixed point. Examples are provided to illustrate the results and an application to coupled fixed points is shown.
Authors
- Boyan Zlatanov (ORCID: https://orcid.org/0000-0002-5857-9372)
- Valentin Georgiev (ORCID: https://orcid.org/0009-0006-4952-6195)
Institutions
- Plovdiv University (BG)
Publication Details
- Journal
- Mathematics
- Published
- 2024-11-27
- DOI
- https://doi.org/10.3390/math12233725
- Citations
- 2
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 2.02