Functional Inequalities in Non-Archimedean Normed Spaces  

作　　者：Choonkil PARK 

机构地区：[1]Research Institute for Natural Sciences, Hanyang University

出　　处：《Acta Mathematica Sinica,English Series》2015年第3期353-366,共14页数学学报（英文版）

基　　金：Supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology(Grant No.NRF-2012R1A1A2004299)

摘　　要：In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces.In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces.

关 键 词：Jordan-yon Neumann functional equation non-Archimedean normed space Banachspace Hyers-Ulam stability functional inequality 

分 类 号：O177[理学—数学]