On the density of positive proper efficient points in a normed space

摘要: In the context of vector optimization and generalizing cones with bounded bases, we introduce study quasi-Bishop-Phelps in a normed space X. A dual concept is also presented for X*. Given convex subset X partially ordered by closed cone S base, show that, if weakly compact, then positive proper efficient points are sequentially weak dense set E(A, S) A; particular, connotation above can be replaced norm cone. Dually, X* S+, establish some density results weak* elements S+).