Journal of Convex Analysis 27 (2020), No. 4, 1157--1176
Copyright Heldermann Verlag 2020
Multivalued Strong Laws of Large Numbers for Triangular Arrays with Gap Topology
Duong Xuan Giap
Department of Mathematics, Vinh University, Nghe An Province, Vietnam
dxgiap@gmail.com
Nguyen Van Huan
Dept. of Mathematics and Applications, Saigon University, Ho Chi Minh City, Vietnam
vanhuandhdt@yahoo.com
Bui Nguyen Tram Ngoc
Dept. of Primary School and Preschool, Dong Nai University, Dong Nai Province, Vietnam
bntramngoc@gmail.com
Nguyen Van Quang
Department of Mathematics, Vinh University, Nghe An Province, Vietnam
nvquang@hotmail.com
We state some strong laws of large numbers for triangular arrays of random sets in separable Banach spaces with the gap topology and with or without compactly uniformly integrable condition.
Keywords: Random set, gap topology, triangular array, compactly uniformly integrable.
MSC: 60F15, 60B12, 28B20.
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