major-order

In this paper the major cone and the strict major cone in real infinite-dimensional linear space is introduced, through which we define the major-order, and their properties are also discussed.

本文引入实无限维线性空间中的较多锥和严格较多锥，利用它们定义较多序，讨论较多序的性质，由此得出，实无限维线性空间中的任何两个元素都可以按较多序进行比较。

Pointedness and convexity of interion and closureof α-major cone and strictly α-major cone;

α-较多锥和严格α-较多锥的内部和闭包的尖凸性

In, Major cones and strictly major cones are introduced, and with them major order is definited.

本文借助较多锥和严格较多锥的边界,并鉴于较多锥和严格较多锥均既不是闭的又不是开的,进而研究它们的内部和闭包,得到了相应的表示。

The relationship of γ-cone, strict γ-cone with major cone, strict major cone, and their closure and their interior is studied.

并且，研究了γ－锥和严格γ－锥与较多锥、严格较多锥及它们的闭包和内部之间的关系。

The H α Lagrange map and its H α saddle point for multiobjective programming problems were defined based on α major cone, which is nonclosed and nonconvex.

借助一类非闭非凸的 α-较多锥 ,对多目标规划问题引进 Hα- Lagrange映射及其鞍点的概念 ,利用 Hα-共轭映射及其性质得到了两个鞍点定理 ,并对含有不等式约束的多目标规划问题建立了鞍点定