Scalar derivatives and scalar asymptotic derivatives. An Altman type fixed point theorem on convex cones and some applications |
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| Authors: | G Isac S Z Nmeth |
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| Institution: | a Department of Mathematics and Computer Science, Royal Military College of Canada, PO Box 17000, STN Forces, Kingston, ON, Canada K7K 7B;b Computer and Automation Institute, Hungarian Academy of Sciences, 1518, Budapest, PO Box 63, Hungary |
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| Abstract: | An Altman type fixed point theorem, on a convex cone in a Banach space, will be presented. In this theorem we replace the classical Altman's condition by an asymptotic condition. Also, we will establish some relations between this Altman type fixed point theorem and the scalar derivatives. Some applications will be given. |
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