چكيده به لاتين
Abstract
In this paper, we define multi-normed spaces, and random normed space and random
homomorphism. Moreover, we prove a generalized Hyers-Ulam-Rassias stability theorem
associated to the Cauchy additive equation for mapping from linear spaces into
multi-normed spaces. And we introduce the concept of random Lie superalgebras and
define the random superhomomorphism and the random superderivation in random Lie
superalgebras.Moreover, we define sextic functional equation and prove sextic functional
equation in para random space theorem.
Keywords: Random Homomorphism, Stability Functional Equation, Li superhomomorphism,
Superderivation, Fixed Point, Random Algebra, para random.