Published in
Elsevier, Journal of Mathematical Analysis and Applications, 2(290), p. 452-468, 2004
DOI: 10.1016/j.jmaa.2003.10.030
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Scalar derivatives and scalar asymptotic derivatives. An Altman type fixed point theorem on convex cones and some applications
Journal article published in 2004 by
G. Isac,
S. Z. Németh
This paper is made freely available by the publisher.
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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.