On the Asymptoticity Aspect of Hyers-Ulam Stability of Quadratic Mappings

被引：0

作者：

A Rahimi

A Najati

J-H Bae

机构：

[1] University of Maragheh,Department of Mathematics, Faculty of Basic Sciences

[2] University of Mohaghegh Ardabili,Department of Mathematics, Faculty of Sciences

[3] Kyung Hee University,College of Liberal Arts

来源：

Journal of Inequalities and Applications | / 2010卷

关键词：

Functional Equation; Quadratic Mapping; Cauchy Sequence; Large Integer; Real Banach Space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the Hyers-Ulam stability of the quadratic functional equation on restricted domains. Applying these results, we study of an asymptotic behavior of these quadratic mappings.

引用

共 50 条

[1] On the Asymptoticity Aspect of Hyers-Ulam Stability of Quadratic Mappings
Rahimi, A.
Najati, A.
Bae, J. -H.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[2] On the asymptoticity aspect of Hyers-Ulam stability of mappings
Hyers, DH
Isac, G
Rassias, TM
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (02) : 425 - 430
[3] On the generalized Hyers-Ulam stability of multi-quadratic mappings
Cieplinski, Krzysztof
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (09) : 3418 - 3426
[4] ON THE HYERS-ULAM STABILITY OF LINEAR MAPPINGS
RASSIAS, TM
SEMRL, P
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 173 (02) : 325 - 338
[5] On the Hyers-Ulam stability of functional equations connected with additive and quadratic mappings
Fechner, Wlodzimierz
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 322 (02) : 774 - 786
[6] ON THE HYERS-ULAM STABILITY OF AN EQUATION CHARACTERIZING MULTI-QUADRATIC MAPPINGS
Cieplinski, Krzysztof
Surowczyk, Angelika
ACTA MATHEMATICA SCIENTIA, 2015, 35 (03) : 690 - 702
[7] ON THE HYERS-ULAM STABILITY OF AN EQUATION CHARACTERIZING MULTI-QUADRATIC MAPPINGS
Krzysztof CIEPLINSKI
Angelika SUROWCZYK
Acta Mathematica Scientia, 2015, (03) : 690 - 702
[8] ON THE HYERS-ULAM STABILITY OF AN EQUATION CHARACTERIZING MULTI-QUADRATIC MAPPINGS
Krzysztof CIEPLINSKI
Angelika SUROWCZYK
Acta Mathematica Scientia(English Series), 2015, 35 (03) : 690 - 702
[9] ON THE HYERS-ULAM STABILITY OF APPROXIMATELY PEXIDER MAPPINGS
Belaid, Bouikhalene
Elhoucien, Elqorachi
Rassias, Themistocles M.
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (04): : 805 - 818
[10] HYERS-ULAM STABILITY OF THE QUADRATIC FUNCTIONAL EQUATION
Elqorachi, E.
Manar, Y.
Rassias, Th. M.
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2010, 1 (02): : 26 - 35

← 1 2 3 4 5 →