Well-posedness of constrained minimization problems via saddle-points |
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Authors: | Biagio Ricceri |
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Institution: | (1) Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125 Catania, Italy |
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Abstract: | In this paper, it is proved a very general well-posedness result for a class of constrained minimization problems of which
the following is a particular case: Let X be a Hausdorff topological space and let be two non-constant functions such that, for each , the function has sequentially compact sub-level sets and admits a unique global minimum in X. Then, for each , the restriction of J to has a unique global minimum, say , toward which every minimizing sequence converges. Moreover, the functions and are continuous in . |
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Keywords: | Constrained minimization problem Well-posedness Minimax Saddle-point |
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