On the Existence of Fixed Points Satisfying Graphic Contraction Conditions on an Open Ball
1 Department of Physical and Chemical Sciences, Federal University of Health Sciences, Ila Nigeria
2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
3 Department of Mathematical Science, Ibrahim Badamasi Babangida University, Lapai, Nigeria
* Corresponding author: ismailamusa45@yahoo.com
2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
3 Department of Mathematical Science, Ibrahim Badamasi Babangida University, Lapai, Nigeria
* Corresponding author: ismailamusa45@yahoo.com
Abstract
This paper investigates the existence of fixed points in complete metric spaces through the application of Ciri´c-type fixed ´
point principles for (α, ψ)-contractive mappings. By formulating the problem within an open ball of a complete metric
space, we establish sufficient conditions that guarantee the
existence of fixed points under this generalized contractive
framework. An illustrative example and corollaries are presented
to demonstrate the validity and applicability of the main results.
Keywords
Ciric-type
Complete metric space
α-admissible
Banach contraction principle
(α
ψ)−contractive mapping
How to Cite
Adedapo, K. F., Rauf, K., & Musa, I. (2024). On the Existence of Fixed Points Satisfying Graphic Contraction Conditions on an Open Ball. Nigerian Journal of Mathematics and Applications, 34(1), 48-63. https://doi.org/10.67897/njma.2024.s3cbz7z8
K. F. Adedapo, K. Rauf, and I. Musa, "On the Existence of Fixed Points Satisfying Graphic Contraction Conditions on an Open Ball," Nigerian Journal of Mathematics and Applications, vol. 34, no. 1, pp. 48-63, June 2024. doi: 10.67897/njma.2024.s3cbz7z8
