STABILITY OF A MIXED ADDITIVE AND QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN BANACH MODULES

被引：12
作者：
Eskandani, G. Zamani [1 ]
Vaezi, Hamid [1 ]
Dehghan, Y. N. [1 ]
机构：
[1] Univ Tabriz, Fac Sci, Dept Math, Tabriz, Iran
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 04期
关键词：
Hyers-Ulam-Rassias stability; Additive mapping; Quadratic mapping; Banach modules; Non-Archimedean space; ULAM-RASSIAS STABILITY;
D O I：
10.11650/twjm/1500405948
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish the general solution of mixed additive and quadratic functional equation f(x + 2y) + f(x - 2y) + 8f(y) = 2f(x) + 4f(2y) and investigate the generalized Hyers-Ulam-Rassias stability of this equation in non-Archimedean Banach modules over a unital Banach algebra.
引用
收藏
页码：1309 / 1324
页数：16
相关论文
共 50 条
[41]   Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces [J].
Gordji, M. Eshaghi ;
Khodaei, H. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) :5629-5643
[42]   CAUCHY-JENSEN FUNCTIONAL INEQUALITY IN BANACH SPACES AND NON-ARCHIMEDEAN BANACH SPACES [J].
Chang, Ick-Soon ;
Gordji, M. Eshaghi ;
Kim, Hark-Mahn .
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (07) :1237-1247
[43]   STABILITY OF DRYGAS TYPE FUNCTIONAL EQUATIONS WITH INVOLUTION IN NON-ARCHIMEDEAN BANACH SPACES BY FIXED POINT METHOD [J].
Kim, Chang Il ;
Han, Gil Jun .
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2016, 34 (5-6) :509-517
[44]   AQCQ-Functional Equation in Non-Archimedean Normed Spaces [J].
Gordji, M. Eshaghi ;
Khodabakhsh, R. ;
Jung, S. -M. ;
Khodaei, H. .
ABSTRACT AND APPLIED ANALYSIS, 2010,
[45]   APPROXIMATELY ADDITIVE MAPPINGS IN NON-ARCHIMEDEAN NORMED SPACES [J].
Mirmostafaee, Alireza Kamel .
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (02) :387-400
[46]   The condition ε-pseudospectra on non-Archimedean Banach space [J].
Ammar, Aymen ;
Bouchekoua, Ameni ;
Lazrag, Nawrez .
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (02)
[47]   Generalized Hyers-Ulam Stability of the Pexiderized Cauchy Functional Equation in Non-Archimedean Spaces [J].
Abbas Najati ;
YeolJe Cho .
Fixed Point Theory and Applications, 2011
[48]   Stability of Cubic and Quartic Functional Equations in Non-Archimedean Spaces [J].
Gordji, M. Eshaghi ;
Savadkouhi, M. B. .
ACTA APPLICANDAE MATHEMATICAE, 2010, 110 (03) :1321-1329
[49]   Stability of Cubic and Quartic Functional Equations in Non-Archimedean Spaces [J].
M. Eshaghi Gordji ;
M. B. Savadkouhi .
Acta Applicandae Mathematicae, 2010, 110 :1321-1329
[50]   Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation [J].
Gordji, Madjid Eshaghi ;
Kamyar, Mahdie ;
Khodaei, Hamid ;
Shin, Dong Yun ;
Park, Choonkil .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011, :1-22
12345