拟凸性的两个刻画

Two Characterizations of Quasiconvexity

Journal of Optimization Theory and Applications · 2025
被引 0
ABS 3

中文导读

研究了定义在实线性空间凸子集上的径向半连续映射的拟凸性,给出了两个刻画,并推广了Sion极小极大定理,刻画了拟凸风险度量。

Abstract

We present two characterisations of quasiconvexity for radially semicontinuous mappings defined on a convex subset of a real linear space. As applications, we obtain an extension of Sion’s minimax theorem and two characterisations of quasiconvex risk measures.

数学计算理论算法