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Some theorems on fixed points in bi-complex valued metric spaces with an application to integral equations
- Source :
- Journal of Nigerian Society of Physical Sciences, Vol 6, Iss 2 (2024)
- Publication Year :
- 2024
- Publisher :
- Nigerian Society of Physical Sciences, 2024.
-
Abstract
- Recent studies have highlighted fixed point theorems in the context of bicomplex valued metric spaces, utilizing rational type contractions with coefficients defined by two-variable control functions. In our research, we extend these findings by proposing new theorems for identifying common fixed points within bicomplex valued metric spaces, employing rational type contractions characterized by three-variable control functions as coefficients. We have refined the contraction conditions presented in numerous existing theorems by substituting constants with a limited number of control functions for more versatility in bicomplex valued metric spaces. This advancement broadens the scope of several significant findings in the literature. To demonstrate the efficacy of our results, we offer compelling examples that validate our theorems. Furthermore, we apply our primary findings to effectively address the Urysohn integral equation system, showcasing the practical application of our research.
Details
- Language :
- English
- ISSN :
- 27142817 and 27144704
- Volume :
- 6
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Nigerian Society of Physical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.4d7db0d0e158491485e0edb61e24239d
- Document Type :
- article
- Full Text :
- https://doi.org/10.46481/jnsps.2024.1750