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

[31] The fixed point method for fuzzy stability of the Jensen functional equation [J].

Mihet, Dorel .

FUZZY SETS AND SYSTEMS, 2009, 160 (11) :1663-1667

[32] Fuzzy versions of Hyers-Ulam-Rassias theorem [J].

Mirmostafaee, Alireza Kamel ;

Moslehian, Mohammad Sal .

FUZZY SETS AND SYSTEMS, 2008, 159 (06) :720-729

[33] A fixed point approach to almost quartic mappings in quasi fuzzy normed spaces [J].

Mirmostafaee, Alireza Kamel .

FUZZY SETS AND SYSTEMS, 2009, 160 (11) :1653-1662

[34] On the Hyers-Ulam-Rassias stability of generalized quadratic mappings in Banach modules [J].

Park, CG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (01) :214-223

[35]

Parnami JC, 1992, AEQUATIONES MATH, V43, P211, DOI DOI 10.1007/BF01835703

[36]

Radu V., 2003, Fixed Point Theory, V4, P91, DOI DOI 10.1016/J.FSS.2008.11.027

[37]

Rassias J.M., 1999, Glas. Mat, V34, P243

[38]

Rassias T.M., 1998, Stud. Univ. Babes-Bolyai Math, V43, P89

[39]

Rassias T. M., 2003, Functional Equations, Inequalities and Applications

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

RASSIAS, TM .

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

← 1 2 3 4 5 →