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Fixed point results for Geraghty–Ćirić-type contraction mappings in b-metric space with applications.
- Source :
- Fixed Point Theory & Algorithms for Sciences & Engineering; 4/22/2024, Vol. 2024 Issue 1, p1-22, 22p
- Publication Year :
- 2024
-
Abstract
- In this study, we manifest a new class of mappings that satisfy Geraghty–Ćirić-type contractive conditions in the context of b-metric spaces and prove a theorem on the existence and uniqueness of fixed points. Our results unify and generalize the results of Geraghty; Ćirić; Dukic, Kadelburg, and Radenović; and Shu-fang Li, Fei Hi, and Ning Lu in the setting of b-metric spaces. Furthermore, we provide examples to verify the correctness and applicability of our results. We also utilize our findings to show the existence of a unique solution for a nonlinear integral equation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 27305422
- Volume :
- 2024
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Fixed Point Theory & Algorithms for Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 176728054
- Full Text :
- https://doi.org/10.1186/s13663-024-00764-3