Volume 10 Number 1 (Jan. 2020)
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IJAPM 2020 Vol.10(1): 33-40 ISSN: 2010-362X
doi: 10.17706/ijapm.2020.10.1.33-40

Fixed Point Results for Orthogonal Z-Contraction Mappings in O-Complete Metric Spaces

Kanokwan Sawangsup, Wutiphol Sintunavarat
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.

Index Terms—Fixed point, orthogonally metric spaces, Z-contraction mappings.

The authors are with Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12120, Thailand (email: juneks.ks@gmail.com).

Cite: Kanokwan Sawangsup, 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.


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).

General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing:  Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Nanowerk Database, Google Scholar, EBSCO, etc.
E-mail: ijapm@iap.org
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