Bulletin of the Australian Mathematical Society

Research Article

Equivalents of Ekeland's principle

W. Oettlia1 and M. Théraa2

a1 Universität Mannheim Lehrstuhl für Mathematik, VII Schloss 68131 Mannheim, Germany

a2 URA 1586, Université de Limoges, Département de Mathématiques 123 Avenue A. Thomas 87060 Limoges Cedex, France

In this note we present a new result which is equivalent to the celebrated Ekeland's variational principle, and a set of implications which includes a new non-convex minimisation principle due to Takahashi.

(Received November 30 1992)