The stability of an additive functional equation in menger probabilistic φ-normed spaces

Mathematica Slovaca

R. Saadati¹  D. Miheţ¹  S. Vaezpour¹ 

关键词: probabilistic normed space;    Hyers-Ulam-Rassias stability;    additive functional equation;    fixed point theorem;   

DOI  :  10.2478/s12175-011-0049-7

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

We establish a stability result concerning the functional equation: $sumlimits_{i = 1}^m {fleft( {mx_i + sumlimits_{j = 1,j e i}^m {x_j } } ight) + fleft( {sumlimits_{i = 1}^m {x_i } } ight) = 2fleft( {sumlimits_{i = 1}^m {mx_i } } ight)} $ in a large class of complete probabilistic normed spaces, via fixed point theory.

【 授权许可】

Unknown