On Baire measurable solutions of some functional equations

Author:

Baron Karol

Abstract

AbstractWe establish conditions under which Baire measurable solutions f of $$ \Gamma (x,y,|f(x) - f(y)|) = \Phi (x,y,f(x + \phi _1 (y)),...,f(x + \phi _N (y))) $$ defined on a metrizable topological group are continuous at zero.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference2 articles.

1. Regularity properties of functional equations http dx org;Grosse;Math,1989

2. Academic - Polish Scientific Publishers;Kuratowski;Topology,1966

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Karol Baron: a little bit about him on his 70th birthday;Aequationes mathematicae;2019-02

2. The stability of functional equation min{f(x + y), f(x - y)} = |f(x) - f(y)|;Journal of Inequalities and Applications;2011-07-21

3. On measurable solutions of a general functional equation on topological groups;Publicationes Mathematicae Debrecen;2011-04-01

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