广义弧凸映射和向量最优化问题

GENERALIZED ARCWISE-CONVEX MAPS AND VECTOR OPTIMIZATION

在序拓扑向量空间中,已有许多著者对有效解的性质作了研究.在实数空间中M.Avriel和I.Zang提出了广义弧凸映射的概念.本文在抽象空间中研究了广义弧凸映射和有效解的Kuhn-Tucker条件,二阶条件以及局部-整体有效解之间的关系.

In order topological vector space,many scholars study theproperties of efficient solutions.M.Avrial and I.Zang have introduced gene-ralized arcwise-convex functions in R.In order topological vector space,thispaper studies generalized arcwise convex maps,Kuhn-Tucker conditions,secondconditions of efficient solutions and characterizations of local-global efficientsolutions。