| 非光滑(F,ρ,)θ-d一致不变凸广义分式规划的对偶性 |
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| 引用本文： | 童子双.非光滑(F,ρ,)θ-d一致不变凸广义分式规划的对偶性[J].数学的实践与认识,2009,39(14). |
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| 作者姓名： | 童子双 |
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| 作者单位： | 金华职业技术学院,师范学院,浙江,金华,321017 |
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| 基金项目： | 浙江省教育厅科研项目 |
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| 摘 要： | 结合F-凸,η-不变凸及d一致不变凸的概念给出了非光滑广义(F,ρ,θ)-d一致不变凸函数;就一类在凸集C上目标函数为Lipschitz连续的带有可微不等式约束的广义分式规划,提出一个对偶,并利用在广义Kuhn-Tucker约束品性或广义Arrow-Hurwicz-Uzawa约束品性的条件下得到的最优性必要条件,证明相应的弱对偶定理、强对偶定理及严格逆对偶定理.
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| 关 键 词： | 广义分式规划 非光滑广义(F ρ θ)-d一致不变凸 最优性必要条件 对偶 |
Duality for a Class of Generalized Fractional Programming Under Nonsmooth Generalized(F,ρ,θ)-d-univexity |
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| TONG Zi-shuang.Duality for a Class of Generalized Fractional Programming Under Nonsmooth Generalized(F,ρ,θ)-d-univexity[J].Mathematics in Practice and Theory,2009,39(14). |
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| Authors: | TONG Zi-shuang |
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| Abstract: | We aer concerned with a nondifferentiable generalized fractional problem with inequality constraints.We introduce a new class of generalized convex function,that is,nonsmooth generalized(F,ρ,θ)-d-univex function.In the framework of the new concept,we derive Kuhn-Tucker type necessary optimality conditions and establish weak,strong and converse duality theorems for the problem and its one dual problem. |
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| Keywords: | generalized fractional programming nonsmooth generalized(F ρ θ)-d-univexity necessary optimality conditions duality |
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