The limit points of the strong law of large numbers under the sub-linear expectations

Let $\{X_n;n\ge 1\}$ be a sequence of independent and identically distributed random variables relative to a regular sub-linear expectation $(Ω,\mathscr{H},\widehat{\mathbb E})$ with upper mean $\overlineμ$, lower mean $\underlineμ$, and finite Choquet expectation or $\lim_{c\to\infty} \widehat{\mat