Dislocated quasi-metric stability of a multiplicative inverse functional equation

Volume 24, Issue 2, pp 140--146 http://dx.doi.org/10.22436/jmcs.024.02.05

Publication Date: January 21, 2021 Submission Date: December 26, 2020 Revision Date: January 01, 2020 Accteptance Date: January 05, 2020

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Authors

B. V. Senthil Kumar - Department of Information Technology, University of Technology and Applied Sciences, Nizwa - 611, Oman. Khalifa Al-Shaqsi - Department of Information Technology, University of Technology and Applied Sciences, Nizwa - 611, Oman. S. Sabarinathan - Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur - 603 203, Tamil Nadu, India.

Abstract

In this study, we employ the dislocated metric space stability result of an equation with one variable function to prove different stabilities of a two variable equation involving rational function in the codomain of complete dislocated quasi-metric spaces. We also extend the stabilities by taking different upper bounds.

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Keywords

• Functional equation
• multiplicative inverse functional equation
• Ulam stability
• dislocated quasi-metric space

MSC

•  39B82
•  39B72

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