Abstract
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.
Author information
Contact details are reproduced from the original publication and may be historical.

Nguyen Van Quang
Dept. of Mathematics, Vinh University, Nghe An Province, Vietnam
nvquang@hotmail.com
Duong Xuan Giap
Dept. of Mathematics, Vinh University, Nghe An Province, Vietnam
dxgiap@gmail.comSuggested citation
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 20 (2013), No. 4, 971–998. https://doi.org/10.68381/jca20053
Published by Heldermann Verlag, 2013. Rights now held by Banach Press.