On a minimax theorem: an improvement, a new proof and an overview of its applications
Minimax theory and its applications, Tome 2 (2017) no. 1
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Theorem 1 of [14], a minimax result for functions f : X×Y → R, where Y is a real interval, was partially extended by the author to the case where Y is a convex set in a Hausdorff topological vector space ([15], Theorem 3.2). As a key tool in the proof a partial extension of the same result to the case where Y is a convex set in Rn ([7], Theorem 4.2) was used. In the present paper, we first obtain a full extension of the result in [14] by means of a new proof fully based on the use of the result itself via an inductive argument. Then, we present an overview of the various and numerous applications of these results
Biagio Ricceri. On a minimax theorem: an improvement, a new proof and an overview of its applications. Minimax theory and its applications, Tome 2 (2017) no. 1. http://geodesic.mathdoc.fr/item/MTA_2017_2_1_a7/
@article{MTA_2017_2_1_a7,
author = {Biagio Ricceri},
title = {On a minimax theorem: an improvement, a new proof and an overview of its applications},
journal = {Minimax theory and its applications},
year = {2017},
volume = {2},
number = {1},
zbl = {1366.49009},
url = {http://geodesic.mathdoc.fr/item/MTA_2017_2_1_a7/}
}