Stability of functional inequalities associated with the Cauchy-Jensen additive functional equalities in non-Archimedean Banach spaces

被引：7

作者：

Kim, Sang Og ^{[1
]}

Bodaghi, Abasalt ^{[2
]}

Park, Choonkil ^{[3
]}

机构：

[1] Hallym Univ, Dept Math, Chunchon 200702, South Korea

[2] Islamic Azad Univ, Dept Math, Garmsar Branch, Garmsar, Iran

[3] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 05期

关键词：

Hyers-Ulam stability; Pexider Cauchy-Jensen functional inequality; non-Archimedean space; additive mapping;

D O I：

10.22436/jnsa.008.05.28

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove the generalized Hyers-Ulam stability of the following Pexider functional inequalities parallel to f(x) + g(y) + kh(z)parallel to <= parallel to kp(x+y/k +z)parallel to, parallel to f(x) + g(y) + h(z)parallel to <= parallel to kp(x+y+z/k)parallel to in non-Archimedean Banach spaces. (C) 2015 All rights reserved.

引用

页码：776 / 786

页数：11

共 16 条

[1] [Anonymous], 2003, Aequationes Math., V66, P191
[2] [Anonymous], 1998, Stability of Functional Equations in Several Variables
[3] [Anonymous], J INEQUAL APPL
[4] Aoki T., 1950, J. Math. Soc. Japan, V2, P64
[5] Functional inequalities in non-Archimedean Banach spaces
Cho, Yeol Je
Park, Choonkil
Saadati, Reza
[J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (10) : 1238 - 1242
[6] Czerwik Stefan, 2002, Functional Equations and Inequalities in Several Variables, P4
[7] Fechner W., 2006, Aequationes Math., V71, P149
[8] Forti G-L., 1980, Stochastica, V4, P23
[9] A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS
GAVRUTA, P
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) : 431 - 436
[10] Gilányi A, 2002, MATH INEQUAL APPL, V5, P707

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