Simultaneous Proximinality in Spaces of Bochner Integrable Functions

Authors

T. S.S.R.K. Rao, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Numerical Functional Analysis and Optimization

Abstract

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.

First Page

1221

Last Page

1227

DOI

10.1080/01630563.2018.1472104

Publication Date

8-18-2018

Recommended Citation

Rao, T. S.S.R.K., "Simultaneous Proximinality in Spaces of Bochner Integrable Functions" (2018). Journal Articles. 1274.
https://digitalcommons.isical.ac.in/journal-articles/1274