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

  • Kenary, Hassan Azadi
  • Rezaei, Hamid
  • Gheisari, Yousof
  • Park, Choonkil
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초록

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.

키워드

Hyers Ulam stabilityset valued functional equationfixed pointEQUILIBRIUMEXISTENCE
제목
On the stability of set-valued functional equations with the fixed point alternative
저자
Kenary, Hassan AzadiRezaei, HamidGheisari, YousofPark, Choonkil
DOI
10.1186/1687-1812-2012-81
발행일
2012-05
유형
Article
저널명
Fixed Point Theory and Applications
페이지
1 ~ 17

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