Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229220181213A class of certain properties of approximately n-multiplicative maps between locally multiplicatively convex algebras111116351010.22075/ijnaa.2018.3510ENZohre HeidarpourDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, IranEsmaeil Ansari-PiriFaculty of Mathematical Sciences, University of Guilan, Rasht, IranHamid ShayanpourDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Shahrekord, P. O. Box 88186-34141, Shahrekord, IranAli ZohriDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran0000-0001-7829-5599Journal Article20170309We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps. We prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous. We also study the relationship between approximately multiplicative linear functionals and approximately n-multiplicative linear functionals.http://ijnaa.semnan.ac.ir/article_3510_7ba671699220e09a6a455a6e8874ad8b.pdf