Stabilities of various multiplicative inverse functional equations

B. V. Senthil Kumar; J. M. Rassias; S. Sabarinathan

doi:10.32513/tbilisi/1578020564

Abstract

This study deals with the validation of classical stabilities of various multiplicative inverse functional equations pertinent to Ulam stability theory of functional equations in the setting of non-Archimedean fields. Suitable counter-examples are demonstrated to disprove the invalidity of stability results of these equations for singular cases.

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B. V. Senthil Kumar. J. M. Rassias. S. Sabarinathan. "Stabilities of various multiplicative inverse functional equations." Tbilisi Math. J. 12 (4) 15 - 28, October 2019. https://doi.org/10.32513/tbilisi/1578020564

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Received: 8 April 2019; Accepted: 20 September 2019; Published: October 2019

First available in Project Euclid: 3 January 2020

zbMATH: 07179168

MathSciNet: MR4047572

Digital Object Identifier: 10.32513/tbilisi/1578020564

Subjects:

Primary: 39B82

Secondary: 39B72

Keywords: generalized Hyers-Ulam stability , Jensen functional equation , Non-archimedean field , quadratic functional equation , reciprocal functional equation

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