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.
Citation
C. R. Jayanarayanan. T. S. S. R. K. Rao. "Optimization through dense sets." Bull. Belg. Math. Soc. Simon Stevin 23 (4) 583 - 594, november 2016. https://doi.org/10.36045/bbms/1480993589
Information
