Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras.
Let be complex vector spaces. Recently, Park and Th.M. Rassias showed that if a mapping satisfies for all , , then the mapping satisfies for all , . Furthermore, they proved the generalized Hyers-Ulam stability of the functional equation () in complex Banach spaces. In this paper, we will adopt the idea of Park and Th. M. Rassias to prove the stability of a quadratic functional equation with complex involution via fixed point method.
We investigate simultaneous solutions of a system of Schroder's functional equations. Under certain assumptions these solutions are used in transformations of functional-differential equations the initial set of which consists of the initial point only.