Some old and new results on lower semicontinuity of minimal points

✍ Scribed by Szymon Dolecki; Badia El Ghali

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 103 KB
• Volume: 39
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(98)00224-7

✦ Synopsis

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We shall comment later on the validity of the presented results in a broader context. 3 We have also, (A i ) i∈I lower converges to A if and only if for all x ∈ A, lim dist (x; A i ) = 0 (where dist (x; A) = inf a∈A x -a ). 4 The name "persistance" has been also used in [6,7,14].