FIXED POINTS AND STABILITY FOR QUARTIC MAPPINGS IN β-NORMED LEFT BANACH MODULES ON BANACH ALGEBRAS  

作　　者：H.Azadi KENARY A.R.ZOHDI M.Eshaghi GORDJI 

机构地区：[1]Department of Mathematics, Beyza Branch, Islamic Azad University [2]Department of Mathematics, Marvdasht Branch, Islamic Azad University [3]Department of Mathematics, Semnan University

出　　处：《Acta Mathematica Scientia》2013年第4期1113-1118,共6页数学物理学报（B辑英文版）

摘　　要：The goal of the present paper is to investigate some new HUR-stability results by applying the alternative fixed point of generalized quartic functional equationin β-Banach modules on Banach algebras. The concept of Ulam-Hyers-Rassias stability （briefly, HUR-stability） originated from Th. M. Rassias stability theorem that appeared in his paper： On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 （1978）, 297-300.The goal of the present paper is to investigate some new HUR-stability results by applying the alternative fixed point of generalized quartic functional equationin β-Banach modules on Banach algebras. The concept of Ulam-Hyers-Rassias stability （briefly, HUR-stability） originated from Th. M. Rassias stability theorem that appeared in his paper： On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 （1978）, 297-300.

关 键 词：generalized Hyers-Ulam stability quartic functional equation Banach mod-ule unital Banach algebra generalized metric space fixed point method 

分 类 号：O177.91[理学—数学]