Strong law of large numbers for double arrays of random variables with respect to capacities

In this paper, we introduce the concept of partially limit of double arrays of real numbers and prove that the lower limit and upper limit defined in [3], are minimum and maximum of partially limits, respectively. Therefore, we apply to establish strong law of large numbers for double arrays of random variables with respect to capacities. This result extends [6, Theorem 1] to the case of double arrays of random variables.