2 research outputs found
Nearest points and delta convex functions in Banach spaces
Given a closed set in a Banach space , a point
is said to have a nearest point in if there exists such that
, where is the distance of from . We shortly
survey the problem of studying how large is the set of points in which have
nearest points in . We then discuss the topic of delta-convex functions and
how it is related to finding nearest points.Comment: To appear in Bull. Aust. Math. So
Small sets in best approximation theory
Best approximation, Metric projection, Well-posedness, Baire category, Porous sets, Cone supported sets, 41A65, 46B20,