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| 非光滑伪不变凸性的一个注记 | |
| 引用本文： | 赵洁,万轩,龙莆均 .非光滑伪不变凸性的一个注记[J].重庆师范大学学报(自然科学版),2011,28(6):10-12. |
| 作者姓名： | 赵洁 万轩 龙莆均 |
| 作者单位： | 重庆师范大学数学学院,重庆,400047 |
| 基金项目： | 重庆市教委研究项目(No.KJ100608); 重庆市自然科学基金项目(No.CSTC2010BB2090) |
| 摘 要： | 文献5]在前人的基础上证明了半严格预拟不变凸函数的一个充分条件,即在一定条件下可微的伪不变凸函数关于相同的向量值函数η为半严格预拟不变凸函数.本文将此结论推广到了非光滑的情形,利用Clarke次微分理论和条件C,证明了在关于向量值函数η的开不变凸集上,满足局部Lipschitz条件的伪不变凸函数关于相同的向量值函数η... |
| 关 键 词： | 非光滑伪不变凸 预拟不变凸 半严格预拟不变凸 |
A Note on Nonsmooth Pseudoinvexity |
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| ZHAO Jie,WAN Xuan,LONG Pu-jun .A Note on Nonsmooth Pseudoinvexity [J].Journal of Chongqing Normal University:Natural Science Edition,2011,28(6):10-12. |
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| Authors: | ZHAO Jie WAN Xuan LONG Pu-jun |
| Institution: | ZHAO Jie,WAN Xuan,LONG Pu-jun(College of Mathematics Science,Chongqing Normal University,Chongqing 400047,China) |
| Abstract: | Zhao et al has obtained a sufficient condition about semi-strictly prequasi-invex functions,which the differentiable pseudo-invex functions must be semi-strictly prequasi-invex functions with the same vector-valued function under some suitable conditions.In this paper,it was generalized that the corresponding results to the nonsmooth case.It was proved that the nonsmooth pseudo-invex functions which based on the open invex set with respect to the vector-valued function and satisfied the condition of Lipschi... |
| Keywords: | nonsmooth pseudoinvexity prequasiinvexity semi-strictly prequasiinvexity |
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