Sur un principe géométrique en analyse convexe
Studia Mathematica, Tome 101 (1991) no. 1, pp. 1-18
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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{10_4064_sm_101_1_1_18,
author = {Andrzej Granas},
title = {Sur un principe g\'eom\'etrique en analyse convexe},
journal = {Studia Mathematica},
pages = {1--18},
year = {1991},
volume = {101},
number = {1},
doi = {10.4064/sm-101-1-1-18},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-101-1-1-18/}
}
Andrzej Granas. Sur un principe géométrique en analyse convexe. Studia Mathematica, Tome 101 (1991) no. 1, pp. 1-18. doi: 10.4064/sm-101-1-1-18
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