Optimization through dense sets

Authors

C. R. Jayanarayanan, Indian Institute of Technology Kanpur
T. S.S.R.K. Rao, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Bulletin of the Belgian Mathematical Society - Simon Stevin

Abstract

In this paper, we study two optimization problems where solutions on a dense set yield global solution. We study these problems for spaces of Bochner integrable functions and for spaces of continuous functions. The first one deals with expressing the length of a vector as a sum of the distance to a best approximation and minimal best approximation and the second one relates to approximating a subsequence of a minimizing sequence with a sequence of proximinal vectors.

First Page

583

Last Page

594

DOI

10.36045/bbms/1480993589

Publication Date

1-1-2016

Comments

Open Access; Green Open Access

Recommended Citation

Jayanarayanan, C. R. and Rao, T. S.S.R.K., "Optimization through dense sets" (2016). Journal Articles. 4364.
https://digitalcommons.isical.ac.in/journal-articles/4364