CAJ | 학술논문

在序拓扑向量空间中引入较锥凸映射更一般的若干弧连通锥凸映射概念,讨论它们之间的相互关系,给出连续映射成为弧连通锥弱凸映射的条件,得到弧连通锥凸映射的值域与锥水平集分别是锥凸集与弧连通集,证明了锥半连续的弧连通严格凸映射是弧连通锥凸映射.
재서탁복향량공간중인입교추철영사경일반적약간호련통추철영사개념,토론타문지간적상호관계,급출련속영사성위호련통추약철영사적조건,득도호련통추철영사적치역여추수평집분별시추철집여호련통집,증명료추반련속적호련통엄격철영사시호련통추철영사.
Several kinds of arcwise connected cone-convex mappings which were more general than generalized cone convex mappings were introduced in ordered topological vector space.The interrelationships among them and some properties were presented.The condition in which continuous mapping became arcwise connected cone weak convex mapping was obtained.The range of arcwise connected cone-convex mapping and the cone level set were respectively cone convex and arcwise connected.The result was shown that cone semi-continuous arcwise connected strictly convex mapping was arcwise connected cone-convex mapping.