A Fixed Point Approach to Non-Archimedean Stabilities of IQD and IQA Functional Equations

Beri Venkatachalapathy Senthil Kumar, Sriramulu Sabarinathan

Abstract

In the present work, an inverse-quadratic difference functional equation and an inverse-quadratic adjoint functional equation are solved. The non-Archimedean stabilities of these equations are proved via fixed point method.Suitable counter-examples are presented to justify the failure of stability of theseequations for singular cases. As an application, two new relationships are inducedthrough the solution of these equations using inverse square law in physics.