Geodesic
A new minimax theorem for linear operators
Minimax theory and its applications, Tome 3 (2018) no. 1
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The aim of this note is to prove the following minimax theorem which generalizes a result by B.Ricceri and extends a previous result of the author: let be a infinite-dimensional Banach space, be a Banach space, be aconvex subset of whose interior is non-empty for the weak topology on bounded sets, ∆ a finite-dimensional convex compact subset of be a continuous convex coercive map, and , φ R ∆ Raconvex continuous function. Assume moreover that ∆ contains at most one compact operator. Then
Mots-clés : Minimax, Banach spaces, linear operators 
@article{MTA_2018_3_1_a3,
     author = {Jean Saint Raymond},
     title = {A new minimax theorem for linear operators},
     journal = {Minimax theory and its applications},
     year = {2018},
     volume = {3},
     number = {1},
     zbl = {1395.49006},
     url = {http://geodesic.mathdoc.fr/item/MTA_2018_3_1_a3/}
}
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Jean Saint Raymond. A new minimax theorem for linear operators. Minimax theory and its applications, Tome 3 (2018) no. 1. http://geodesic.mathdoc.fr/item/MTA_2018_3_1_a3/