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
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
@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/}
}
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/