On The Hyers-Ulam Stability Of Operator Equations In Quasi-Banach Algebras

被引：0
|
作者：
Zhang, Weizheng [1 ]
Hua, Liubin [2 ]
Li, Yongjin [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
[2] Guangzhou Sontan Coll, Guangzhou 511370, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS E-NOTES | 2019年 / 19卷
基金：
中国国家自然科学基金;
关键词：
FIXED-POINT APPROACH;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper mainly discusses and proves the Hyers-Ulam stability of three types of polynomial operator equations in quasi-Banach algebras, under certain conditions about coefficient operators, by constructing contraction mappings and using fixed-point methods. It is also shown that the stability of operator equations depends heavily on the specified spaces, and the results are proposed with conditions as weak as possible.
引用
收藏
页码：141 / 152
页数：12
相关论文
共 50 条
  • [1] Revision and extension on Hyers-Ulam stability of homomorphisms in quasi-Banach algebras
    Nguyen Van Dung
    Vo Thi Le Hang
    Sintunavarat, Wutiphol
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (03) : 1773 - 1784
  • [2] Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras
    Park, Choonkil
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2008, 132 (02): : 87 - 96
  • [3] HYERS-ULAM-RASSIAS STABILITY OF HOMOMORPHISMS IN QUASI-BANACH ALGEBRAS
    Park, Chun-Gil
    [J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2007, 1 (01) : 23 - 32
  • [4] Revision and extension on Hyers–Ulam stability of homomorphisms in quasi-Banach algebras
    Nguyen Van Dung
    Vo Thi Le Hang
    Wutiphol Sintunavarat
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 1773 - 1784
  • [5] Hyers-Ulam-Rassias stability of isometric homomorphisms in quasi-Banach algebras
    Lee, Sang-Hyuk
    Park, Choonkil
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2008, 10 (01) : 39 - 51
  • [6] On the Hyers-Ulam-Rassias stability of functional equations in quasi-Banach spaces
    Eskandani, G.Z.
    Vaezi, H.
    Moradlou, F.
    [J]. International Journal of Applied Mathematics and Statistics, 2009, 15 (D09): : 1 - 15
  • [7] On the Hyers-Ulam-Rassias stability of functional equations in quasi-Banach spaces
    Eskandani, G. Z.
    Vaezi, H.
    Moradlou, F.
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2009, 15 (D09): : 1 - 15
  • [8] Hyers-Ulam stability of iterative equations in Banach spaces
    Wang, Xi
    [J]. SCIENCEASIA, 2021, 47 (01): : 126 - 130
  • [9] Hyers-Ulam stability of horn-derivations in Banach algebras
    Mouktonglang, Thanasak
    Suparatulatorn, Raweerote
    Park, Choonkil
    [J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2022, 38 (03) : 839 - 846
  • [10] HYERS-ULAM STABILITY OF THE LAPLACE OPERATOR
    Popa, Dorian
    Rasa, Ioan
    [J]. FIXED POINT THEORY, 2018, 19 (01): : 379 - 382
12345