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.
@article{bwmeta1.element.bwnjournal-article-smv101i1p1bwm,
author = {Andrzej Granas and Marc Lassonde},
title = {Sur un principe g\'eom\'etrique en analyse convexe},
journal = {Studia Mathematica},
volume = {100},
year = {1991},
pages = {1-18},
language = {fr},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv101i1p1bwm}
}
Granas, Andrzej; Lassonde, Marc. Sur un principe géométrique en analyse convexe. Studia Mathematica, Tome 100 (1991) pp. 1-18. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv101i1p1bwm/
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