Geodesic
SLLN for Double Array of Mixing Dependence Random Sets and Fuzzy Random Sets in a Separable Banach Space
Journal of convex analysis, Tome 20 (2013) no. 4, pp. 971-998

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We state several convergence results on Painlevé-Kuratowski-Mosco convergence of strong laws of large numbers for double array of ϕ(ϕ*)-mixing dependence random sets or fuzzy random sets in a separable Banach space. We also obtain the SLLN for double array of ϕ(ϕ*)-mixing random sets in Wijsman sense. Some related results in the literature are extended. Illustrative examples are provided.
Classification : 60F15, 60B12, 28B20
Mots-clés : Double array, random variable, random set, fuzzy random set, strong law of large numbers, Painleve-Kuratowski-Mosco topology, Wijsman topology, stable type p Banach space 
@article{JCA_2013_20_4_JCA_2013_20_4_a5,
     author = {N. V. Quang and D. X. Giap},
     title = {SLLN for {Double} {Array} of {Mixing} {Dependence} {Random} {Sets} and {Fuzzy} {Random} {Sets} in a {Separable} {Banach} {Space}},
     journal = {Journal of convex analysis},
     pages = {971--998},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_4_JCA_2013_20_4_a5/}
}
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N. V. Quang; D. X. Giap. SLLN for Double Array of Mixing Dependence Random Sets and Fuzzy Random Sets in a Separable Banach Space. Journal of convex analysis, Tome 20 (2013) no. 4, pp. 971-998. http://geodesic.mathdoc.fr/item/JCA_2013_20_4_JCA_2013_20_4_a5/