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On the stability of set-valued functional equations with the fixed point alternative
- Issue Date
- May-2012
- Publisher
- Hindawi Publishing Corporation
- Keywords
- Hyers Ulam stability; set valued functional equation; fixed point
- Citation
- Fixed Point Theory and Applications, pp 1 - 17
- Pages
- 17
- Indexed
- SCIE
SCOPUS
- Journal Title
- Fixed Point Theory and Applications
- Start Page
- 1
- End Page
- 17
- ISSN
- 1687-1820
1687-1812
- 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 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.
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