A characterization of cone-convex vector-valued functions

作者：Kuroiwa Daishi; Popovici Nicolae^*; Rocca Matteo

来源：Carpathian Journal of Mathematics, 2016, 32(1): 79-85.

• Cone-convex function
• cone-quasiconvex function
• linear operator
• linear process
• polar cone
• scalarization

An interesting result in convex analysis, established by J.-P. Crouzeix in 1977, states that a real- valued function defined on a linear space is convex if and only if each function obtained from it by adding a linear functional is quasiconvex. The aim of this paper is to extend this result for vector-valued functions taking values in a partially ordered linear space.

• 出版日期2016