On nearly uniformly convex sets
Copyright policy )On nearly uniformly convex sets
Let \(C\) be a closed convex set in a real Banach space \(X\). \(C\) is called nearly uniformly convex with respect to a center \(a\in C\) if for every \(\varepsilon>0\) there is a \(\delta\), \(0\delta\), one has \(E\cap(a+(1-\delta)(C- a))\neq\emptyset\), where \(\alpha(E)\) means the index of noncompactness by K. Kuratowski. In the present paper several properties of nearly uniformly convex sets in Banach spaces are investigated.
- Polish Academy of Learning Poland
- Bulgarian Academy of Sciences Bulgaria
Banach spaces, Convex sets in topological linear spaces; Choquet theory, Convex sets in topological vector spaces (aspects of convex geometry), nearly uniformly convex sets
Banach spaces, Convex sets in topological linear spaces; Choquet theory, Convex sets in topological vector spaces (aspects of convex geometry), nearly uniformly convex sets
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