J Austral Math Soc Ser B 32 pp97--99, 1990.

A note on the relationships between convexity and invexity

Giorgio Giorgi

(Received 16 November 1988; revised 8 August 1989)

Abstract

Using the fact that a differentiable quasi-convex function is also psuedo-convex at every point x of its domain where Ñf (x) ¹ 0, recent results relating different forms of convexity and invexity are strengthened.

Browse the article

Read the article in your browser. (Print at 75% on A4 paper).

Author

Giorgio Giorgi: Department of Management Researches, Section of General and Applied Mathematics, University of Pavia, 27100 Pavia (Italy).; The author thanks Prof. B. Mond who suggested this note.

Editor JAMSB(E): editor at anziamj.austms.org.au
WWW Administrator: webmaster at anziamj.austms.org.au

Last Modified: Mon Jan 14 16:50:54 2002