CAUCHY-RASSIAS STABILITY OF HOMOMORPHISMS ASSOCIATED TO A PEXIDERIZED CAUCHY-JENSEN TYPE FUNCTIONAL EQUATION

被引：0
作者：
Najati, Abbas [1 ]
机构：
[1] Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil, Iran
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2009年 / 3卷 / 02期
关键词：
Generalized metric space; fixed point; stability; Banach module; C*-algebra;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use a fixed point method to prove the Cauchy-Rassias stability of homomorphisms associated to the Pexiderized Cauchy-Jensen type functional equation rf(x + y/r) + sg (x - y/s) = 2h(x), r, s is an element of R\{0} in Banach algebras.
引用
收藏
页码：257 / 265
页数：9
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[31]   STABILITY OF THE CAUCHY FUNCTIONAL EQUATION OVER p-ADIC FIELDS [J].
Arriola, L. M. ;
Beyer, W. A. .
REAL ANALYSIS EXCHANGE, 2005, 31 (01) :125-132
[32]   THE MODIFIED HYERS-ULAM-RASSIAS STABILITY OF A MIXED TYPE FUNCTIONAL EQUATION [J].
Park, Kyoo-Hong .
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2007, 14 (01) :23-35
[33]   The modified Hyers-Ulam-Rassias stability of a cubic type functional equation [J].
Chang, IS ;
Jun, KW ;
Jung, YS .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (04) :675-683
[34]   Weighted Cauchy-type problem of a functional differ-integral equation [J].
El-Sayed, A. M. A. ;
El-Salam, Sh. A. Abd .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2007, (30) :1-9
[35]   Hyers-Ulam stability of an alternative functional equation of Jensen type [J].
Srisawat, Choodech .
SCIENCEASIA, 2019, 45 (03) :275-278
[36]   Stability of a quadratic Jensen type functional equation in the spaces of generalized functions [J].
Lee, Young-Su ;
Chung, Soon-Yeong .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (02) :1395-1406
[37]   The Generalized Stability of an n-Dimensional Jensen Type Functional Equation [J].
Tipyan, J. ;
Srisawat, C. ;
Udomkavanich, P. ;
Nakmahachalasint, P. .
THAI JOURNAL OF MATHEMATICS, 2014, 12 (02) :265-274
[38]   STABILITY OF THE JENSEN TYPE FUNCTIONAL EQUATION IN BANACH ALGEBRAS: A FIXED POINT APPROACH [J].
Park, Choonkil ;
Park, Won-Gil ;
Lee, Jung Rye ;
Rassias, Themistocles M. .
KOREAN JOURNAL OF MATHEMATICS, 2011, 19 (02) :149-161
[39]   On the stability of Jensen functional equation in Felbin's type fuzzy normed linear spaces [J].
Xue, Wenping ;
Ji, Peisheng .
PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MECHATRONICS, ROBOTICS AND AUTOMATION (ICMRA 2015), 2015, 15 :563-566
[40]   Stability of a Jensen type quadratic-additive functional equation under the approximately conditions [J].
Lee, Young-Su ;
Jeong, Yujin ;
Ha, Hyemin .
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
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