Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach

被引:0
作者
Alizadeh, Sattar [1 ]
Moradlou, Fridoun [2 ]
机构
[1] Islamic Azad Univ, Marand Branch, Dept Math, Marand, Iran
[2] Sahand Univ Technol, Dept Math, Tabriz, Iran
来源
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2015年 / 7卷 / 01期
关键词
Fixed point method; Hyers-Ulam-Rassias stability; Multi- Banach spaces; Quadratic mapping;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Using the fixed point method, we prove the generalized Hyers-Ulam-Rassias stability of the following functional equation in multi-Banach spaces: (n)(Sigma j=1) f(-2x(j) + Sigma(n)(i=1,i not equal j) x(i)) = (n - 6) f (Sigma(n)(i=1) x(i)) + 9 Sigma(n)(i=1) f(x(i)).
引用
收藏
页码:63 / 75
页数:13
相关论文
共 40 条
[1]  
Aoki T., 1950, J MATH SOC JAPAN, V2, P64, DOI [10.2969/jmsj/00210064, DOI 10.2969/JMSJ/00210064]
[2]  
Borelli C., 1993, INT J MATH MATH SCI, V18, P229
[3]   CLASSES OF TRANSFORMATIONS AND BORDERING TRANSFORMATIONS [J].
BOURGIN, DG .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (04) :223-237
[4]  
Cadariu L., 2003, ANALELE U VEST TIMIS, V41, P25
[5]  
Cadariu L., 2004, GRAZER MATH BERICHTE, V346, P43
[6]  
Cadariu L., 2003, JIPAM J INEQUAL PURE, V4
[7]  
CZERWIK S, 1994, STABILITY MAPPINGS H, P81
[8]   Stability of mappings on multi-normed spaces [J].
Dales, H. G. ;
Moslehian, Mohammad Sal .
GLASGOW MATHEMATICAL JOURNAL, 2007, 49 :321-332
[9]   Multi-normed spaces [J].
Dales, H. G. ;
Polyakov, M. E. .
DISSERTATIONES MATHEMATICAE, 2012, (488) :6-157
[10]   A FIXED POINT THEOREM OF ALTERNATIVE FOR CONTRACTIONS ON A GENERALIZED COMPLETE METRIC SPACE [J].
DIAZ, JB ;
MARGOLIS, B .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (02) :305-&