【摘要】 本文在X为可分Banach空间,闭凸点锥K(?)X是正规锥(可以不要求具有界凸基底)的条件下构造了在X上连续、严格凸、在K上强单调增的一个范数,利用这个范数讨论了有效点集的收缩性更多还原

【Abstract】 Let X be a separable Banach space, and K(?)X be a closed convex and normed pointed cone, we construct a norm on X, the norm is continuous, strictly convex on X and strongly monotonically increasing on K. Using the norm, we prove the contractibility of efficient point sets.更多还原