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
[21]   Hyers-Ulam Stability of General Jensen-Type Mappings in Banach Algebras [J].
Lu, Gang ;
Park, Choonkil .
RESULTS IN MATHEMATICS, 2014, 66 (3-4) :385-404
[22]   Approximation of Jordan homomorphisms in Jordan-Banach algebras [J].
Gordji, Madjid Eshaghi ;
Samani, Najmeh Karimipour ;
Park, Choonkil .
MATHEMATICAL SCIENCES, 2012, 6 (01)
[23]   APPROXIMATION OF GENERALIZED HOMOMORPHISMS IN QUASI-BANACH ALGEBRAS [J].
Gordji, M. Eshaghi ;
Savadkouhi, M. Bavand .
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2009, 17 (02) :203-213
[25]   FIXED POINT PROPERTY OF FULL HILBERTC∗-MODULES OVER UNITAL C∗-ALGEBRAS [J].
Jahangir, Farhang ;
Nourouzi, Kourosh .
FIXED POINT THEORY, 2024, 25 (01) :171-178
[27]   The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces [J].
LiShan Liu ;
DeZhou Kong ;
YongHong Wu .
Science China Mathematics, 2015, 58 :2581-2592
[28]   Fixed Point Approximation for Enriched Suzuki Nonexpansive Mappings in Banach Spaces [J].
Filali, Doaa ;
Alamrani, Fahad Maqbul ;
Alshaban, Esmail ;
Alatawi, Adel ;
Alanazi, Amid Yousef ;
Khan, Faizan Ahmad .
AXIOMS, 2025, 14 (06)
[29]   The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces [J].
LIU LiShan ;
KONG DeZhou ;
WU YongHong .
Science China(Mathematics), 2015, 58 (12) :2581-2592
[30]   Approximation of solutions of Hammerstein equations with monotone mappings in real Banach spaces [J].
Chidume, C. E. ;
Adamu, A. ;
Okereke, L. C. .
CARPATHIAN JOURNAL OF MATHEMATICS, 2019, 35 (03) :305-316