On the Hyers-Ulam-Rassias stability of approximately additive mappings

被引：70

作者：

Jung, SM

机构：

[1] Mathematical Part, College of Science and Technology, Hong-Ik University

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 204卷 / 01期

关键词：

D O I：

10.1006/jmaa.1996.0433

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using an idea from the paper of P. Gavruta (J. Math. Anal. Appl. 184, 1994, 431-436), the results of Th. M. Rassias (J. Math. Anal. Appl. 158, 1991, 106-113) shall be generalized. (C) 1996 Academic Press, Inc.

引用

页码：221 / 226

页数：6

共 8 条

[1]

Gajda Z, 1991, INT J MATH MATH SCI, V14, P431, DOI [DOI 10.1155/S016117129100056X, 10.1155/S016117129100056X]

[2] A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS [J].

GAVRUTA, P .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :431-436

[3] On the stability of the linear functional equation [J].

Hyers, DH .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224

[4] ON THE BEHAVIOR OF MAPPINGS WHICH DO NOT SATISFY HYERS-ULAM STABILITY [J].

RASSIAS, TM ;

SEMRL, P .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 114 (04) :989-993

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

RASSIAS, TM .

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

[6] ON A MODIFIED HYERS-ULAM SEQUENCE [J].

RASSIAS, TM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 158 (01) :106-113

[7] ON THE HYERS-ULAM STABILITY OF LINEAR MAPPINGS [J].

RASSIAS, TM ;

SEMRL, P .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 173 (02) :325-338

[8]

Ulam SM, 1960, PROBLEMS MODERN MATH

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