Optimization through dense sets

• Published in: Bulletin of the Belgian Mathematical Society, Simon Stevin Vol. 23; no. 4; p. 583
• Main Authors: Jayanarayanan, C.R, Rao, T.S.S.R.K
• Format: Journal Article
• Language: English
• Published: Belgian Mathematical Society 01.10.2016
• Subjects: Functions (Mathematics); Mathematical research; Mathematics problems; Vectors (Mathematics)

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...