INVEXITY相关论文
凸性是优化理论中最常用的假设之一.众所周知，对凸函数来说，局部最小值就是全局最小值.但在经济学，建筑学等实际问题所涉及的数学模型......
指出了文（６）中的一个错误，基于不变凸性，对异分母分式多目标规划进行了讨论。在简单的正交假设下，给出了一系列解的充分条件，并建立了Ｍｏｎｄ－Ｗｅｉｒ型对......
定义了I类不变拟凸、I类严格不变拟凸、KT-I类严格不变拟凸的向量值函数,并在多目标规划中,获得了每个驻点(或KT-T点)是有效点的等......
研究下述非光滑不变凸规划问题（Ｐ） ｍｉｎ（ｆｘ），ｓ．ｔ． ｇ（ｘ）≤０这里ｆ：Ｒ＾ｎ→Ｒ，ｇ：Ｒ＾ｎ→Ｒ＾ｍ，ｆｊ，ｇｉ为不变凸函数，在相关点具有Ｌｉｐｓｃｈｉｔｚ性质，将要给出最优性的必要与充分条件。同时提出（Ｐ）的混合型对......
建立了一类广义分式规划的一个不完全Lagrange函数，并利用这一函数研究广义分式规划的鞍点最优性准则，在不变凸性假设下，获得了该类广......
本文利用向量泛函的不变凸﹑(严格)拟不变凸﹑(严格)伪不变凸, 给出并证明了一类多目标优化控制问题的两个弱对偶定理.......
A second-order dual problem is formulated for a class of continuous programming problem in which both objective and cons......
A second-order Mond-Weir type dual problem is formulated for a class of continuous programming problems in which both ob......
A dual for a nonlinear programming problem in the presence of equality and inequality constraints which represent many r......
Optimality Conditions and Second-Order Duality for Nondifferentiable Multiobjective Continuous Progr
Fritz John and Karush-Kuhn-Tucker type optimality conditions for a nondifferentiable multiobjective variational problem ......
A Mond-Weir type second-order dual continuous programming problem associated with a class of nondifferentiable continuou......
本文了引入了几类广义不变凸性，对一类控制问题，在这些广义不变凸性条件下，讨论了它的Ｍｏｎｄ－Ｗｅｉｒ型解的充分性。......
