ON THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD

被引：1

作者：

Jin, Sun Sook ^{[1
]}

Lee, Yang-Hi ^{[2
]}

机构：

[1] Gongju Natl Univ Educ, Dept Math Educ, Gongju 314711, South Korea

[2] Gongju Natl Univ Educ, Dept Math Educ, Gongju 314711, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2012年 / 19卷 / 01期

关键词：

stability; additive mapping; mixed type functional equation; random normed space;

D O I：

10.7468/jksmeb.2012.19.1.59

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the stability in random normed spaces via fixed point method for the functional equation f (x + y + z) f (x + y) f (y z) f (x + z) + f (x) f (y) + f (z) = 0. by using a fixed point theorem in the sense of L. Cadariu and V. Radu.

引用

页码：59 / 71

页数：13

共 20 条

[1]

Aoki T., 1950, J MATH SOC JAPAN, V1, P64, DOI [10.2969/jmsj/00210064, DOI 10.2969/JMSJ/00210064]

[2]

Cholewa P.W., 1984, AEQUATIONES MATH, V27, P76

[3] 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-&

[4]

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

[5] 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

[6] 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

[7]

Jin S.-S., FIXED POINT IN PRESS

[8] On the Hyers-Ulam stability of the functional equations that have the quadratic property [J].

Jung, SM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 222 (01) :126-137

[9] On the stability problem for a mixed type of quartic and quadratic functional equation [J].

Kim, Hark-Mahn .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) :358-372

[10] On the stability of the monomial functional equation [J].

Lee, Yang-Hi .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (02) :397-403

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