On the probabilistic stability of the monomial functional equation

被引：41

作者：

Zaharia, Claudia ^{[1
]}

机构：

[1] West Univ Timisoara, Dept Math, Timisoara 300223, Romania

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2013年 / 6卷 / 01期

关键词：

Rndom p-normed space; Hyers - Ulam - Rassias stability; monomial functional equation; NORMED SPACES; FUZZY STABILITY;

D O I：

10.22436/jnsa.006.01.08

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the fixed point method, we establish a generalized Ulam - Hyers stability result for monomial functional equation in the setting of complete random p-normed spaces. As a particular case, we obtain a new stability theorem for monomial functional equations in beta-normed spaces.

引用

页码：51 / 59

页数：9

共 23 条

[1] Albert M, 1983, ANN POL MATH, V43, P93, DOI DOI 10.4064/ap-43-1-93-103
[2] [Anonymous], 1964, PROBLEMS MODERN MATH
[3] Aoki T., 1950, J. Math. Soc. Japan, V2, P64
[4] Cadariu L, 2007, FIXED POINT THEORY, V8, P201
[5] Cadariu L, 2009, J MATH INEQUAL, V3, P463
[6] A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS
GAVRUTA, P
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) : 431 - 436
[7] Hyers-Ulam stability of monomial functional equations on a general domain
Gilányi, A
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1999, 96 (19) : 10588 - 10590
[8] Gilányi A, 2000, PUBL MATH-DEBRECEN, V56, P201
[9] Gilanyi A., 1997, AEQUATIONES MATH, V54, P289, DOI DOI 10.1007/BF02755461
[10] Golet I., 2004, ISTANBUL U FEN FAK M, V1, P31

← 1 2 3 →