- Title
- Nearest points and delta convex functions in Banach spaces
- Creator
- Borwein, Jonathan M.; Giladi, Ohad
- Relation
- Bulletin of the Australian Mathematical Society Vol. 93, Issue 2, p. 283-294
- Publisher Link
- http://dx.doi.org/10.1017/S000497271500101X
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2016
- Description
- Given a closed set C in a Banach space (X, || · ||), a point x ∈ X is said to have a nearest point in C if there exists z ∈ C such that dC(x) = ||x - z||, where dC is the distance of x from C. We survey the problem of studying the size of the set of points in X which have nearest points in C. We then turn to the topic of delta convex functions and indicate how it is related to finding nearest points.
- Subject
- nearest points; Fréchet sub-differentials; delta convex functions
- Identifier
- http://hdl.handle.net/1959.13/1319909
- Identifier
- uon:24006
- Identifier
- ISSN:0004-9727
- Language
- eng
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