| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842511 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 10 Pages |
Abstract
Let XX be a (real) Banach space, AA be a subset of XX and x∉Ax∉A. We present cone-separation in terms of separation by a collection of linear functionals defined on XX and obtain necessary and sufficient conditions for cone-separability AA and xx. Also, we give characterizations for star-shaped separability. Finally, as an application of separability, we characterize best approximation problem by elements of star-shaped sets.
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Authors
H. Mohebi, E. Naraghirad,