For instance, it's also the square of the Euclidean norm on R2, the length of a two-dimensional vector, a part of the triangle inequality, and quite a bit more.
例如，R 2的平方、二维向量的长度、三角不等式等都存在勾股定理。
By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.
运用此定理，在线性空间中建立了带广义不等式约束的向量极值问题的最优性条件。
Under the conditions of Partial ic-convex like Maps, optimality necessary conditions of weak efficient solutions for vector optimization problems with equality and inequality constraints are obtained.
在部分生成锥内部凸-锥-凸映射下，得到了既有等式约束又有不等式约束的向量优化问题弱有效解的最优性必要条件。
Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.
最后，利用择一性定理，获得了含不等式和等式约束的广义次似凸集值映射向量最优化问题的最优性条件。
In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets.
本文首先研究了一类积集上的广义向量拟类变分不等式问题，使用不动点定理给出了它的解的存在性结果。
A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector Spaces, are given.
给出了两个拓扑向量空间的乘积空间上截口定理，极小极大不等式及一个推广的不动点定理。
In this paper, We prove the existence of a weak minimum for constrained vector optimization problem by making use of vector variational-like inequality and semi-preinvex functions.
本文通过使用向量似变分不等式和半预不变凸函数来证明约束向量优化的弱极小值的存在性。
The definitions of pseudo-invex function and weak vector variation-like inequality on Riemannian manifolds are presented.
在黎曼流形上分别给出了伪不变凸函数和弱向量似变分不等式的概念。
In this paper, we investigate the relationship of strict feasibility and solv - ability for the multivalued vector variational inequality.
本文研究集值向量变分不等式的严格可行性与可解性之间的关系。
In this paper, we introduce several classes of vector F-complementarity problems and give relations between vector F-complementarity problems and general vector variational inequality problems.
本文引入了几类向量f -互补问题并给出了向量f -互补问题与广义向量变分不等式之间的关系。
As its applications, the continuity of solution mappings for a class of parametric vector optimization problem and parametric vector variational inequality is obtained.
作为应用，得到一类参数向量优化问题和参数向量变分不等式的解的连续性。
As its applications, the continuity of solution mappings for a class of parametric vector optimization problem and parametric vector variational inequality is obtained.
作为应用，得到一类参数向量优化问题和参数向量变分不等式的解的连续性。
应用推荐