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

页码：63 / 75

页数：13

共 40 条

[31] Hyers-Ulam stability of a generalized Apollonius type quadratic mapping [J].

Park, Chun-Gil ;

Rassias, Themistocles M. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 322 (01) :371-381

[32]

Radu V., 2003, SEM FIXED POINT THEO, V4, P91, DOI DOI 10.1016/J.FSS.2008.11.027

[33] ON APPROXIMATION OF APPROXIMATELY LINEAR MAPPINGS BY LINEAR MAPPINGS [J].

RASSIAS, JM .

JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 46 (01) :126-130

[34]

RASSIAS JM, 1984, B SCI MATH, V108, P445

[35] On the stability of functional equations in Banach spaces [J].

Rassias, TM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 251 (01) :264-284

[36] STABILITY OF LINEAR MAPPING IN BANACH-SPACES [J].

RASSIAS, TM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 72 (02) :297-280

[37] The problem of S. M Ulam for approximately multiplicative mappings [J].

Rassias, TM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (02) :352-378

[38]

Skof F., 1983, RENDICONTI SEMINARIO, V53, P113, DOI DOI 10.1007/BF02924890

[39]

Ulam S.M., 1968, COLLECTION MATH PROB

[40]

Xu TZ, 2010, EUR J PURE APPL MATH, V3, P1032

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