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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 cotrina_je@up.edu.pe 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. [ Fulltext-pdf (120 KB)] for subscribers only. |