2006
DOI: 10.1007/0-387-31082-7
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Convexity and Well-Posed Problems

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Cited by 180 publications
(112 citation statements)
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“…Therefore, (12) yields that (0 n ; 1) 2 cl K ( " ) and " = 2 dom F b ; a contradiction. This shows that (ii) =) (v) and (iii) =) (v); and the result follows.…”
Section: Perturbing the Left-hand Side Datamentioning
confidence: 95%
See 2 more Smart Citations
“…Therefore, (12) yields that (0 n ; 1) 2 cl K ( " ) and " = 2 dom F b ; a contradiction. This shows that (ii) =) (v) and (iii) =) (v); and the result follows.…”
Section: Perturbing the Left-hand Side Datamentioning
confidence: 95%
“…The (positive) polar cone of a convex cone X is X := fy 2 R n : x 0 y 0; x 2 Xg. For more on these concepts and in general on convexity, see [6,12].…”
Section: Remark 11 (Lower Semicontinuity Along Lines) It Follows Rementioning
confidence: 99%
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“…Furthermore, since Γ-convergence is tied to Convex Analysis [2,3,4,5,6,8,21,24], we study some questions of convergence in the supremum metric from this point of view. Specifically, we analyze how this convergence behaves with respect to maximizers.…”
Section: Introductionmentioning
confidence: 99%
“…so that the topology induced by on is the product of the topologies induced by the Hausdor¤ metric (5) on 1 and the Hausdor¤-like metric (3) on 2 (the induced topology on 2 coincides with the so-called bounded Hausdor¤ topology; see, e.g., [14]), respectively. Our feasible set mapping is F :…”
Section: Introductionmentioning
confidence: 99%