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

被引：13
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
[21]   Stability Results of Mixed Type Quadratic-Additive Functional Equation in β-Banach Modules by Using Fixed-Point Technique [J].
Tamilvanan, Kandhasamy ;
Alqahtani, Rubayyi T. ;
Mohiuddine, Syed Abdul .
MATHEMATICS, 2022, 10 (03)
[22]   Stability of an AQCQ functional equation in non-Archimedean (n,β)-normed spaces [J].
Liu, Yachai ;
Yang, Xiuzhong ;
Liu, Guofen .
DEMONSTRATIO MATHEMATICA, 2019, 52 (01) :130-146
[23]   Fixed point approach to the stability of a cubic and quartic mixed type functional equation in non-archimedean spaces [J].
Elumalai, P. ;
Sangeetha, S. ;
Selvan, A. Ponmana .
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 33 (02) :124-136
[24]   Stability of a mixed functional equation in several variables on Banach modules [J].
Najati, Abbas ;
Rassias, Themistocles M. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1755-1767
[25]   GENERAL QUARTIC-CUBIC-QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES [J].
Gordji, M. Eshaghi ;
Khodaei, H. ;
Khodabakhsh, R. .
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2010, 72 (03) :69-84
[26]   STABILITY OF FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN SPACES [J].
Moslehian, Mohammad Sal ;
Rassias, Themistocles M. .
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2007, 1 (02) :325-334
[27]   A FIXED POINT APPROACH TO THE STABILITY OF EULER-LAGRANGE SEXTIC (a, b)-FUNCTIONAL EQUATIONS IN ARCHIMEDEAN AND NON-ARCHIMEDEAN BANACH SPACES [J].
Ghaemi, Mohammad Bagher ;
Choubin, Mehdi ;
Saadati, Reza ;
Park, Choonkil ;
Shin, Dong Yun .
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (01) :170-181
[28]   A Fixed Point Approach to Stability of k-th Radical Functional Equation in Non-Archimedean (n, β)-Banach Spaces [J].
EL-Fassi, Iz-iddine ;
Elqorachi, Elhoucien ;
Khodaei, Hamid .
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (02) :487-504
[29]   Asymptotic Stability of the Pexider-Cauchy Functional Equation in Non-Archimedean Spaces [J].
Gharib, Hamid ;
Moghimi, Mohammad B. ;
Najati, Abbas ;
Bae, Jae-Hyeong .
MATHEMATICS, 2021, 9 (18)
[30]   Stability of multi-additive mappings in non-Archimedean normed spaces [J].
Cieplinski, Krzysztof .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (02) :376-383
12345