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.
"Stabilities of various multiplicative inverse functional equations." Tbilisi Math. J. 12 (4) 15 - 28, October 2019. https://doi.org/10.32513/tbilisi/1578020564