On the stability of set-valued functional equations with the fixed point alternative

Fixexd point theory and applications

Yousof Gheisari¹  Hassan Azadi Kenary²  Hamid Rezaei²  Choonkil Park³ 

[1] Department of Mathematics, Bushehr Branch, Islamic Azad University, Bushehr, Iran;Department of Mathematics, College of Science, Yasouj University, Yasouj, Iran;Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, South Korea

关键词: Hyers-Ulam stability;    set-valued functional equation;    fixed point;   

DOI  :  10.1186/1687-1812-2012-81

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using the fixed point method, we prove the Hyers-Ulam stability of a Cauchy-Jensen type additive set-valued functional equation, a Jensen type additive-quadratic set-valued functional equation, a generalized quadratic set-valued functional equation and a Jensen type cubic set-valued functional equation. Mathematics Subject Classification 2010: 47H10; 54C60; 39B52; 47H04; 91B44.

【 授权许可】

CC BY