In this note a concept of monotonicity for maps from Rn into Rm is introduced. It can be seen as an extension of monotonicity for maps from Rn into Rm. Moreover, a first-order characterization in the differentiable case is provided and the relationships between increasing maps and componentwise increasing ones are studied. © 1995, Taylor & Francis Group, LLC. All rights reserved.
Increasing maps
BECCACECE, FRANCESCA;CIGOLA, MARGHERITA
1995
Abstract
In this note a concept of monotonicity for maps from Rn into Rm is introduced. It can be seen as an extension of monotonicity for maps from Rn into Rm. Moreover, a first-order characterization in the differentiable case is provided and the relationships between increasing maps and componentwise increasing ones are studied. © 1995, Taylor & Francis Group, LLC. All rights reserved.
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