Fixed Point Theorems with Rational Expressions over a Closed Subset of Hilbert Spaces
1 Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi, Nigeria
2 Department of Mathematics and Statistics, Lagos State Polytechnic, Ikorodu, Nigeria
3 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
* Corresponding author: saaniki@njmajournal.com.ng
2 Department of Mathematics and Statistics, Lagos State Polytechnic, Ikorodu, Nigeria
3 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
* Corresponding author: saaniki@njmajournal.com.ng
Abstract
In this paper, we prove the existence and uniqueness of a fixed
point for a continuous self- mapping over a closed subset of
Hilbert spaces satisfying nonlinear rational contractive-type condition. This result is extended and generalized for some positive
integer powers of continuous self-mappings in Hilbert spaces.
Keywords
Hilbert spaces
Fixed point
Closed subset
Completeness
How to Cite
Aniki, S. A., Aribike, E. E., Raji, M., Adegboye, F., & Rauf, K. (2022). Fixed Point Theorems with Rational Expressions over a Closed Subset of Hilbert Spaces. Nigerian Journal of Mathematics and Applications, 32(2), 286-292. https://doi.org/10.67897/njma.2022.z69ctdch
S. A. Aniki, E. E. Aribike, M. Raji, F. Adegboye, and K. Rauf, "Fixed Point Theorems with Rational Expressions over a Closed Subset of Hilbert Spaces," Nigerian Journal of Mathematics and Applications, vol. 32, no. 2, pp. 286-292, December 2022. doi: 10.67897/njma.2022.z69ctdch
