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
相关论文
共 42 条
[21]   Asymptotic stability of the Cauchy and Jensen functional equations [J].
Bahyrycz, A. ;
Pales, Zs. ;
Piszczek, M. .
ACTA MATHEMATICA HUNGARICA, 2016, 150 (01) :131-141
[22]   Asymptotic stability of the Cauchy and Jensen functional equations [J].
A. Bahyrycz ;
Zs. Páles ;
M. Piszczek .
Acta Mathematica Hungarica, 2016, 150 :131-141
[23]   Generalized stability of the Cauchy and the Jensen functional equations on spheres [J].
Sikorska, Justyna .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) :650-660
[24]   The Cauchy-Optimal Stability Results for Cauchy-Jensen Additive Mappings in the Fuzzy Banach Space and the Unital Fuzzy Banach Space [J].
Eidinejad, Zahra ;
Saadati, Reza ;
Srivastava, Hari M. .
AXIOMS, 2023, 12 (04)
[25]   Generalized Ulam-Hyers stability of random homomorphisms in random normed algebras associated with the Cauchy functional equation [J].
Park, Choonkil ;
Lee, Jung Rye ;
Shin, Dong Yun .
APPLIED MATHEMATICS LETTERS, 2012, 25 (02) :200-205
[26]   Approximation of 3D Cauchy-Jensen type operators in locally convex cones [J].
Nikoufar, Ismail ;
EL-Fassi, Iz-iddine .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2025, 22 (03)
[27]   Hyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartz distributions [J].
Chung, JY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 300 (02) :343-350
[28]   Stability of the Cauchy functional equation in metric groupoids [J].
Tabor, Jacek ;
Tabor, Jozef .
AEQUATIONES MATHEMATICAE, 2008, 76 (1-2) :92-104
[29]   Stability of the Cauchy functional equation in metric groupoids [J].
Jacek Tabor ;
Józef Tabor .
Aequationes mathematicae, 2008, 76 :92-104
[30]   On the stability of the additive Cauchy functional equation in random normed spaces [J].
Mihet, Dorel ;
Radu, Viorel .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 343 (01) :567-572