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Functional variational principles and coercivity over normed spaces |
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| Abstract: | Using Karlin’s 4] weak game values, a ‘weakly determined’ game is introduced. Conditions for weak determinateness of games and for strict determinateness of weakly determined games are presented. Finally, generalizations of some well-known minimax theorems are derived from these results. |
| Keywords: | metric space proper bounded below lsc function variational principle quasi-order maximal element pseudometric quasi-normal and concave topord function slope coercivity Palais–Smale condition |