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

Autor:	S. M. Vaezpour, Reza Saadati, Dorel Miheţ
Rok vydání:	2011
Předmět:	Discrete mathematics Large class General Mathematics Functional equation Fixed-point theorem Hyers–Ulam–Rassias stability Stability result Algebra over a field Stability (probability) Mathematics
Zdroj:	Mathematica Slovaca. 61:817-826
ISSN:	1337-2211 0139-9918
DOI:	10.2478/s12175-011-0049-7
Popis:	We establish a stability result concerning the functional equation: $\sum\limits_{i = 1}^m {f\left( {mx_i + \sum\limits_{j = 1,j \ne i}^m {x_j } } \right) + f\left( {\sum\limits_{i = 1}^m {x_i } } \right) = 2f\left( {\sum\limits_{i = 1}^m {mx_i } } \right)} $ in a large class of complete probabilistic normed spaces, via fixed point theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b5c04caef2814897d51b986d1805e84c https://doi.org/10.2478/s12175-011-0049-7 Zobrazit plný text záznamu Full text from SpringerLink