RANDOM APPROXIMATION OF AN ADDITIVE FUNCTIONAL EQUATION OF m-APPOLLONIUS TYPE

被引：6
作者：
Kenary, Hassan Azadi [1 ]
机构：
[1] Univ Yasuj, Coll Sci, Dept Math, Yasuj 75914353, Iran
来源：
ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 05期
关键词：
Hyers-Ulam stability; additive functional equation; random normed space; fixed point method; ULAM-RASSIAS STABILITY; C-ASTERISK-ALGEBRAS; MAPPINGS; SPACES;
D O I：
10.1016/S0252-9602(12)60142-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using the fixed-point and direct methods, we prove the Hyers-Ulam stability of the following m-Appolonius type functional equation: [GRAPHICS] , where m, is a natural number greater than 1, in random norrned spaces.
引用
收藏
页码：1813 / 1825
页数：13
相关论文
共 39 条
  • [1] [Anonymous], ITAL J PURE IN PRESS
  • [2] [Anonymous], 2010, STABILITY FUNCTIONAL
  • [3] [Anonymous], NONARCHIMED IN PRESS
  • [4] [Anonymous], 2009, J MATH EXTENSION
  • [5] [Anonymous], 2003, Aequationes Math., V66, P191
  • [6] [Anonymous], N HOLLAND SERIES PRO
  • [7] [Anonymous], 1998, Stability of Functional Equations in Several Variables
  • [8] [Anonymous], INT J NONLINEAR ANAL
  • [9] Arriola LM, 2005, REAL ANAL EXCH, V31, P125
  • [10] Cholewa P.W., 1984, Aequat. Math, V27, P76, DOI [10.1007/BF02192660, DOI 10.1007/BF02192660]
1234