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Minimax Theory and its Applications 04 (2019), No. 2, 281--304
Copyright Heldermann Verlag 2019

A Theorem on Variational Inequalities for Affine Mappings

Jean Saint Raymond
Université Paris Diderot, Inst. Mathématiques Jussieu, Paris Rive Gauche, 75005 Paris, France

We give a proof of a conjecture by B. Ricceri on variational inequalties which extends a partial result of N. D. Yen. We need an additional hypothesis of compactness for a convex set, and refute the conjecture if this additional hypothesis is removed.

Keywords: Variational inequalities, convex compact sets.

MSC: 47J20, 49J45, 46E10.

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