Best Approximative Properties of Exposed Faces
Journal of convex analysis, Tome 29 (2022) no. 3, pp. 731-747
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Let X = c0or L1(μ). We will show that the exposed face of the unit sphere of X is strongly proximinal and the corresponding metric projection map is Hausdorff metric continuous.
Classification : 46B20, 41A50, 41A65
Mots-clés : Proximinal, strongly proximinal, norm attaining functional, exposed face, Hausdorff metric continuity
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     title = {Best {Approximative} {Properties} of {Exposed} {Faces}},
     journal = {Journal of convex analysis},
     pages = {731--747},
     year = {2022},
     volume = {29},
     number = {3},
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}
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N. Prakash; K. V. Sangeetha. Best Approximative Properties of Exposed Faces. Journal of convex analysis, Tome 29 (2022) no. 3, pp. 731-747. http://geodesic.mathdoc.fr/item/JCA_2022_29_3_JCA_2022_29_3_a4/