In this paper,we provied equivalent definitions of a normed linear space being uniformly smooth,strongly smooth, very smooth and smooth. 本文给出线性赋范空间是一致光滑的、强光滑的、非常光滑的、光滑的等价定义.
On the other hand,we use a new method of moving neighborhood to simplify the proof for the continuity of a subconvex function defined on a convex in a normed linear space. 另外,本文利用邻域的"平移"方法,给出了定义在赋范线性空间内的凸集上的次凸泛函连续性的简捷证明。
In this paper, we study the connectedness of super efficient solution sets for set-valued mapping vector optimization in normed linear space. 本文研究赋范线性空间中集值映射向量优化问题超有效解集的连通性问题。
The set-valued optimization problem with constraints is considered in the sense of super efficiency in real normed linear space. 在实赋范线性空间中考虑约束集值优化问题的超有效性。