文章基本信息

标题：Lattictic non-archimedean random stability of ACQ functional equation
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作者：Yeol Je Cho ; Reza Saadati
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2011
卷号：2011
期号：1
页码：31
DOI：10.1186/1687-1847-2011-31
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation 1 1 1 f ( x + 2 y ) + 1 1 f ( x - 2 y ) = 4 4 f ( x + y ) + 4 4 f ( x - y ) + 1 2 f ( 3 y ) - 4 8 f ( 2 y ) + 6 0 f ( y ) - 6 6 f ( x ) in various complete lattictic random normed spaces. Mathematics Subject Classification (2000) Primary 54E40; Secondary 39B82, 46S50, 46S40.
关键词：Stability ; Random normed space ; Fixed point ; Generalized Hyers-Ulam stability ; Additive-cubic-quartic functional equation ; Lattice ; non-Archimedean normed spaces