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
收藏
页码：209 / 228
页数：20
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