Fixed points and stability of the Cauchy-Jensen functional equation in fuzzy Banach algebras

被引：0

作者：

Lee, Jung Rye ^{[1
]}

Lee, Sung Jin ^{[1
]}

Park, Choonkil ^{[2
]}

机构：

[1] Daejin Univ, Dept Math, Kyeonggi 487711, South Korea

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

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2013年 / 15卷 / 04期

关键词：

fuzzy Banach algebra; fixed point; Hyers-Ulam stability; Cauchy-Jensen functional equation; SPACES;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Using fixed point method, we prove the Hyers-Ulam stability of the Cauchy-Jensen functional equation in fuzzy Banach algebras.

引用

页码：692 / 698

页数：7

共 50 条

[1] Fixed points and stability of the Cauchy-Jensen functional inequality in fuzzy Banach algebras
Park, Choonkil
APPLIED MATHEMATICS LETTERS, 2011, 24 (12) : 2024 - 2029
[2] STABILITY OF THE JENSEN FUNCTIONAL EQUATION IN FUZZY BANACH ALGEBRAS
Lee, Jung Rye
Shin, Dong Yun
KOREAN JOURNAL OF MATHEMATICS, 2012, 20 (01): : 91 - 106
[3] STABILITY OF CAUCHY-JENSEN TYPE FUNCTIONAL EQUATION IN (2, α)-BANACH SPACES
Sayar, Khaled Yahya Naif
Bergam, Amal
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (06): : 905 - 917
[4] STABILITY OF CAUCHY-JENSEN INEQUALITIES IN FUZZY BANACH SPACES
Eshaghi-Gordji, M.
Abbaszadeh, S.
APPLIED AND COMPUTATIONAL MATHEMATICS, 2012, 11 (01) : 27 - 36
[5] Homomorphisms in quasi-Banach algebras associated with a Pexiderized Cauchy-Jensen functional equation
Najati, Abbas
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (09) : 1529 - 1542
[6] Fixed Points and Stability of the Cauchy Functional Equation in C*-Algebras
Park, Choonkil
FIXED POINT THEORY AND APPLICATIONS, 2009,
[7] STABILITY OF THE JENSEN TYPE FUNCTIONAL EQUATION IN BANACH ALGEBRAS: A FIXED POINT APPROACH
Park, Choonkil
Park, Won-Gil
Lee, Jung Rye
Rassias, Themistocles M.
KOREAN JOURNAL OF MATHEMATICS, 2011, 19 (02): : 149 - 161
[8] CAUCHY-RASSIAS STABILITY OF HOMOMORPHISMS ASSOCIATED TO A PEXIDERIZED CAUCHY-JENSEN TYPE FUNCTIONAL EQUATION
Najati, Abbas
JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (02): : 257 - 265
[9] ON THE GENERALIZED HYERS-ULAM STABILITY OF THE CAUCHY-JENSEN FUNCTIONAL EQUATION II
Jun, Kil-Woung
Lee, Ju-Ri
Lee, Yang-Hi
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2009, 16 (02): : 167 - 178
[10] FIXED POINTS AND STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS ON THE BANACH ALGEBRAS
Cho, Yeol Je
Kang, Jung Im
Saadati, Reza
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (06) : 1103 - 1111

← 1 2 3 4 5 →