Abstract
It is well known that various properties of constrained optimization, such as converse Karush-Kuhn-Tucker and duality, remain valid when convex hypotheses are much relaxed, e.g. to invex. But convex does not need derivatives, whereas invex does. However, there is a property intermediate between convexifiable (by transformation of the domain) and invex, which gives a nondifferentiable extension of invex. Its properties will be surveyed.
Information
Published: 1 January 1999
First available in Project Euclid: 18 November 2014
zbMATH: 1193.90172
Rights: Copyright © 1999, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
