On the continuity of the kernel of invex functions
type: Item
instance of: scholarly article
title: On the continuity of the kernel of invex functions
zbMATH Open document ID: 0884.90137
author: Ian Smart
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-04-05T00:00:00Z
review text: A differentiable real function is invex on a domain \(C\) if \(f(x)- f(u) \geq\eta(x,u)^T \nabla f(u)\) for all \(x,u\) in \(C\). Examples are given where the kernel \(\eta(.,.)\) is required to be continuous; and sufficient conditions are obtained for a continuous \(\eta\) to exist, or to not exist.
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 26B25
zbMATH DE Number: 902458
zbMATH Keywords: continuity
zbMATH Keywords: kernel
zbMATH Keywords: invex functions
reviewed by: B. D. Craven
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0038
OpenAlex ID: W2030398810
DOI: 10.1006/JMAA.1996.0038
description: scientific article; zbMATH DE number 902458