凸不等式系とヘリーの定理

概要

論文の詳細を見る
This paper examines the existence problem of solutions for systems which consist of finite or infinite non-liner convex inequalities. More generally, this problem results in the problem on conditions for nonempty property of an intersection of finite or infinite convex sets. The basic theorem on this more general problem is Helly's theorem. This theorem is as essential as the separation theorems for convex sets to develop the duality theory of convex programming and to derive saddle point theorems. This paper interlines detailed notes on pages of the Rockafeller's work on Helly's theorem.
関西学院大学の論文
1999-12-31