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Approximating Fixed Points via Hybrid Enriched Contractions in Convex Metric Space with an Application
- Source :
- Axioms, Vol 13, Iss 12, p 815 (2024)
- Publication Year :
- 2024
- Publisher :
- MDPI AG, 2024.
-
Abstract
- In the present study, we define hybrid enriched contractions of the Hardy–Rogers type and of the Ćirić–Reich–Rus type in the framework of convex metric space. We demonstrate the presence and the approximation of fixed points for contraction mappings by using Krasnoselskij iteration. The main conclusions of this study are shown to be corollaries or implications of multiple important fixed point theory findings. Some examples have also been provided to show the validity of our results. Towards the end of this paper, we study the solution of the nonlinear equations as an application of our main results.
- Subjects :
- hybrid contraction
enriched contraction
fixed point
convex metric
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 13
- Issue :
- 12
- Database :
- Directory of Open Access Journals
- Journal :
- Axioms
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.8ba7e9d6c8ff47fab96415d9f827a227
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/axioms13120815