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One-sided estimates for quasimonotone increasing functions
Published online by Cambridge University Press: 17 April 2009
Abstract
Let E be a Banach space ordered by a solid and normal cone K, and normed by the Minkowski functional of an order interval [–p, p], p ∈ K∘. We derive global one-sided estimates for quasimonotone increasing functions f : [0, T) × E → E with respect to the norm, and the distance to the line generated by p, under conditions of f; in direction p.
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- Copyright © Australian Mathematical Society 2003
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