Result on the Existence and Uniqueness of the Fixed Point with Mann Iteration in a Complete G-Metric Space
1 Department of Mathematics, University of Ilorin
2 Department of Mathematics, Federal University of Technology, Minna
3 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
4 Federal College of Fisheries and Marine Technology, Victoria Island, Lagos
* Corresponding author: bornjery@gmail.com
2 Department of Mathematics, Federal University of Technology, Minna
3 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
4 Federal College of Fisheries and Marine Technology, Victoria Island, Lagos
* Corresponding author: bornjery@gmail.com
Abstract
In this research, we prove the existence and uniqueness ofthe mixed point in a complete G-metric space using severalgeneralised contractive conditions formulated in G-metricsettings, taking Mann-iteration as our iterative procedure. Our results improve and extend some well-knownresults in the literature. We have utilized these conceptsto deduce that Mann iterative procedure is G-convergent,G-Cauchy and G-complete in a complete G-metric space.
Keywords
G-metric space; G-Cauchy; G-convergent; G-complete and Mann Iteration
How to Cite
Idowu, A. A., Aiyetan, B. Y., Rauf, K., & Aminu, L. (2018). Result on the Existence and Uniqueness of the Fixed Point with Mann Iteration in a Complete G-Metric Space. Nigerian Journal of Mathematics and Applications, 27(1), 78-88.
A. A. Idowu, B. Y. Aiyetan, K. Rauf, and L. Aminu, "Result on the Existence and Uniqueness of the Fixed Point with Mann Iteration in a Complete G-Metric Space," Nigerian Journal of Mathematics and Applications, vol. 27, no. 1, pp. 78-88, June 2018.
