16297

16297

فضاي تصادفي چندگانه

كارشناسي ارشد

رياضي

1395

دكتر رضا سعادتي

دكتر جواد وحيدي

رياضي

1395/10/27

1/1/1900 12:00:00 AM

Abstract In this paper, we define multi-normed spaces, an​d random normed space an​d 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 an​d define the random superhomomorphism an​d the random superderivation in random Lie superalgebras.Moreover, we define sextic functional equation an​d prove sextic functional equation in para random space theorem. Keywords: Random Homomorphism, Stability Functional Equation, Li superhomomorphism, Superderivation, Fixed Point, Random Algebra, para random.