The Aumann-Gould Integral |
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| Authors: | Anca-Maria Precupanu Bianca Satco |
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| Institution: | (1) Faculty of Mathematics, “Al. I. Cuza” University, Bd. Carol I No 11, Iasi, Romania;(2) Faculty of Electrical Engineering and Computer Science, “Ştefan cel Mare” University of Suceava, str. Universităaţii 13, Suceava, Romania |
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| Abstract: | We introduce and study a multi-valued integral of Aumann-type where the selectors are Gould integrals of real functions with
respect to finitely additive vector-valued measures. We also discuss the relationship between this kind of integral and the
M-Gould set-valued integral with respect to a finitely additive multimeasure M.
Received: November 17, 2006, Revised: September 17, 2007 and January, 8, 2008, Accepted: March 13, 2008. |
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| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 28B20 |
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