doi: 10.17706/ijapm.2020.10.1.33-40
Fixed Point Results for Orthogonal Z-Contraction Mappings in O-Complete Metric Spaces
- Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University
Abstract
In this paper, we introduce the notion of orthogonal Z-contraction mappings and prove fixed point theorems for such contraction mappings in orthogonally metric spaces, which are generalizations of fixed point results for Z-contraction mappings in metric spaces. As an application, we apply our main results to show the existence of a unique positive definite solution of a nonlinear matrix equation.
Keywords
- Fixed point
- orthogonally metric spaces
- Z-contraction mappings
How to Cite
Kanokwan Sawangsup and Wutiphol Sintunavarat, "Fixed Point Results for Orthogonal Z-Contraction Mappings in O-Complete Metric Spaces," International Journal of Applied Physics and Mathematics, vol. 10, no. 1, pp. 33-40, 2020. https://doi.org/ 10.17706/ijapm.2020.10.1.33-40
Copyright & License
Copyright © 2020 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).