A convexification argument is offered which implies that the strong law of large numbers for random compact sets in a Banach space is valid without a convexity assumption.
Zvi Artstein. Jennie C. Hansen. "Convexification in Limit Laws of Random Sets in Banach Spaces." Ann. Probab. 13 (1) 307 - 309, February, 1985. https://doi.org/10.1214/aop/1176993083