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Minimax Theory and its Applications 09 (2024), No. 1, 041--054
Copyright Heldermann Verlag 2024

Remarks on Pseudo-Continuity

John Cotrina
Universidad del Pacífico, Lima, Perú

We extend a maximum theorem proposed by Morgan and Scalzo. We also show some results of minimax inequalities which are equivalent to the famous Ky Fan minimax inequality. Additionally, we prove that the existence result of Nash equilibria proposed by Morgan and Scalzo is actually equivalent to a classical result in the literature.

Keywords: Maximum theorem, minimax inequality, Nash games, pseudo-continuity.

MSC: 47H10, 54C60, 91A10.

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