Sur un principe géométrique en analyse convexe
Volume 101 / 1991
Studia Mathematica 101 (1991), 1-18
DOI: 10.4064/sm-101-1-1-18
Abstract
In this note we present we present a new elementary approach in the theory of minimax inequalities. The proof of the main result (called the geometric principle) uses only some simple properties of convex functions. The geometric principle (which is equivalent to the well-known lemma of Klee [13]) is shown to have numerous applications in different areas of mathematics.
