Simultaneous Proximinality in Spaces of Bochner Integrable Functions
Numerical Functional Analysis and Optimization
We study closed sets of spaces of Bochner integrable functions that are simultaneously proximinal. We show that the set of weakly compact convex set-valued Bochner integrable functions is a simultaneously proximinal set in the corresponding Banach space of functions.
Rao, T. S.S.R.K., "Simultaneous Proximinality in Spaces of Bochner Integrable Functions" (2018). Journal Articles. 1274.