ON THE STABILITY OF SOME FUNCTIONAL EQUATIONS IN MENGER φ-NORMED SPACES

被引：1

作者：

Mihet, Dorel ^{[1
]}

Saadati, Reza ^{[2
]}

机构：

[1] West Univ Timisoara, Fac Math & Comp Sci, RO-300223 Timisoara, Romania

[2] Iran Univ Sci & Technol, Dept Math, Tehran, Iran

来源：

MATHEMATICA SLOVACA | 2014年 / 64卷 / 01期

关键词：

probabilistic normed space; Hyers-Ulam stability; cubic functional equation; quadratic functional equation; quartic functional equation; ULAM-RASSIAS STABILITY; FIXED-POINT; MAPPINGS;

D O I：

10.2478/s12175-013-0197-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, the authors [MIHET,, D.-SAADATI, R.-VAEZPOUR, S. M.: The stability of an additive functional equation in Menger probabilistic phi-normed spaces, Math. Slovaca 61 (2011), 817-826] considered the stability of an additive functional in Menger phi-normed spaces. In this paper, we establish some stability results concerning the cubic, quadratic and quartic functional equations in complete Menger phi-normed spaces via fixed point theory. (C) 2014 Mathematical Institute Slovak Academy of Sciences

引用

页码：209 / 228

页数：20

共 42 条

[1]

[Anonymous], 1964, PROBLEMS MODERN MATH

[2]

[Anonymous], 2011, Probabilistic Metric Spaces

[3]

[Anonymous], 1984, AEQUATIONES MATH

[4]

[Anonymous], 2001, J K OREAN M ATHSOC

[5]

[Anonymous], 1998, Stability of Functional Equations in Several Variables

[6]

Aoki T., 1950, J MATH SOC JAPAN, V2, P64, DOI [10.2969/jmsj/00210064, DOI 10.2969/JMSJ/00210064]

[7] On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces [J].

Baktash, E. ;

Cho, Y. J. ;

Jalili, M. ;

Saadati, R. ;

Vaezpour, S. M. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)

[8]

Cadariu L, 2007, INT J APPL MATH STAT, V7, P40

[9]

Cdariu L., 2003, J INEQUAL PURE APPL, V4, P4

[10] ON THE STABILITY OF THE QUADRATIC MAPPING IN NORMED SPACES [J].

CZERWIK, S .

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1992, 62 :59-64

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