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

نویسندگان

  • Hassan Azadi Kenary
  • Hamid Rezaei
  • Yousof Gheisari
  • Choonkil Park
چکیده

* Correspondence: baak@hanyang. ac.kr Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea Full list of author information is available at the end of the article Abstract 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 setvalued 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.

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تاریخ انتشار 2012