Approximation of linear mappings in Banach modules over C∗-algebras

被引:0
作者
Choonkil Park
Yeol Je Cho
Reza Saadati
机构
[1] Research Institute for Natural Sciences,Department of Mathematics
[2] Hanyang University,Department of Mathematics Education and RINS
[3] Gyeongsang National University,Department of Mathematics and Computer Science
[4] Iran University of Science and Technology,undefined
关键词
fixed point; Hyers-Ulam stability; super-stability; generalized Euler-Lagrange type additive mapping; homomorphism; -algebra;
D O I
暂无
中图分类号
学科分类号
摘要
Let X, Y be Banach modules over a C∗-algebra and let r1,…,rn∈R be given. Using fixed-point methods, we prove the stability of the following functional equation in Banach modules over a unital C∗-algebra:
引用
收藏
相关论文
共 50 条
[41]   Approximation of common fixed points for a family of finite nonexpansive mappings in Banach space [J].
Wu, DP ;
Chang, SS ;
Yuan, GX .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) :987-999
[42]   On KU-Modules Over KU-Algebras [J].
Ansari, Moin A. ;
Koam, Ali N. A. .
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2024, 22
[43]   Homomorphisms between C*-algebras and linear derivations on C*-algebras [J].
Park, Choonkil ;
Boo, Deok-Hoon ;
An, Jong Su .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (02) :1415-1424
[44]   Additive mappings on C*-algebras preserving absolute values [J].
Taghavi, Ali .
LINEAR & MULTILINEAR ALGEBRA, 2012, 60 (01) :33-38
[45]   Additive mappings on C∗-algebras sub-preserving absolute values of products [J].
Ali Taghavi .
Journal of Inequalities and Applications, 2012
[46]   Some fixed point results for (c)-mappings in Banach spaces [J].
Sami Atailia ;
Najeh Redjel ;
Abdelkader Dehici .
Journal of Fixed Point Theory and Applications, 2020, 22
[47]   Some fixed point results for (c)-mappings in Banach spaces [J].
Atailia, Sami ;
Redjel, Najeh ;
Dehici, Abdelkader .
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (02)
[49]   Interative approximation of fixed points for almost asymptotically nonexpansive type mappings in Banach spaces [J].
Zeng, LC .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2003, 24 (12) :1421-1430
[50]   On the Iterative Approximation Problem of Fixed Points for Asymptotically Nonexpansive Type Mappings in Banach Spaces [J].
Shi-sheng Zhang .
Applied Mathematics and Mechanics, 2001, 22 :25-34