Abstract
A common fixed point theorem for two self maps of an S-metric space with rational inequality is proved in the present paper.
Highlights
As a generalization of metric spaces B.C.Dhage [1,2] introduced D- metric spaces
A common fixed point theorem for two self maps of an S-metric space with rational inequality is proved in the present paper
The notion of commutativity is generalized by Gerald Jungck [3] by initiating compatibility
Summary
As a generalization of metric spaces B.C.Dhage [1,2] introduced D- metric spaces. Later many researchers proved many of their results are not valid. As a probable modification to D- metric spaces, Shaban Sedghi, Nabi Shobe and Haiyun Zhou [4] introduced D*- metric spaces. In 2006, Zead Mustafa and Brailey Sims [6] have initiated G- metric spaces, while Shaban Sedghi, Nabi Shobe and Abdelkrim Aliouche [5] considered S-mertic spaces in 2012. Of these three generalizations, the S-metric space generated interest in researchers.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.