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Remarks on saddle points in nonconvex sets |
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| Institution: | Department of Mathematics Seoul National University Seoul 151-742, Korea;Department of Mathematics Sungkyunkwan University Suwon 440-746, Korea |
| Abstract: | Smol'yakov's saddle point theorem is generalized to admissible sets (in the sense of Klee). Moreover, convexity of the involved sets in the theorem can be replaced by acyclicity, and continuity of the involved functions by lower or upper semicontinuity. |
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