Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 33 Issue 2
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- Pages.193-204
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- 1996
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
Best simultaneous approximations from a convex subset
- Park, Sung-Ho (Department of Mathematics, Sogang University, CPO 1142, Seoul 121-742) ;
- Rhee, Hyang-Joo (Department of General Studies, Duksung Women's University, Seoul 132-714)
- Published : 1996.05.01
Abstract
Let U and V be nonempty compact subsets of two Hausdorff topological vector spaces. Suppose that a function $J : U \times V \to R$ is such that for each $\upsilon \in V, J(\cdot, \upsilon)$ is lower semi-continuous and convex on U, and for each $ u \in U, J(u, \cdot)$ is upper semi-continuous and concave on V.