Topological spaces related to the Banach-Mazur game and the generic well-posedness of optimization problems |
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| Authors: | M M oban P S Kenderov and J P Revalski |
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| Institution: | (1) Krasnodonskaya 72, kv. 119, 278000 Tiraspol, Moldova;(2) Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Block 8, 1113 Sofia, Bulgaria |
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| Abstract: | The existence of special kind of winning strategies in the Banach-Mazur game in a completely regular topological spaceX is shown to be equivalent to generic stability properties of optimization problems generated by the continuous bounded real-valued functions inX.Research partially supported by the National Foundation for Scientific Research at the Bulgarian Ministry of Education and Science under Grant Number MM-408/94. |
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| Keywords: | 90D44 90C48 54C60 |
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