节点文献
向量极值问题与序列仿凹规划的Lagrange乘子定理及Kuhn—Tucker条件
The Lagrange Mu Itip I ier Theorem and Kuhn -Tucher Conditions of The Ordered Concave like Programm ing in Banach Spaces
【摘要】 本文对陈光亚[4][5]中讨论的向量极值问题有效点的几何性质作了某些补充,并把序凹规划的标量化、Lagrange乘子定理和Kuhn—Tucker条件推广到序仿凹规划的情况。
【Abstract】 This paper discusssrs the oplimaliiy conditions of ordered concayel like pr ograirmming in Banach Spaces, A mapping is called an ordered concave like mapping, ifThe ordered concavelikc programmingsarc considered, where X,Y,Z arc Banach spaces, f: X→Y g:X→Z are Ordered concavclike mappings.A scalar theorem, the lagrange multiplier theorem and Kuhn-Tucker conditions concerning efficient solutions and weakly efficient solutions of order ed roncavelike programming are obtained in this paper.
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,1986年02期
- 【被引频次】1
- 【下载频次】49