| 摘要: |
| 本文研究了E-凸函数在Gateaux可微条件下Gateaux导数与E-次微分之间的关系，得到了E-凸规划问题最优解的必要条件。给出了E-凸规划问题的最优解集刻画。 |
| 关键词: E-凸函数 E-凸规划 Gateaux可微 解集刻画 |
| DOI： |
| 分类号:O221.2 |
| 基金项目:重庆市基础科学与前沿技术研究重点项目(cstc2015jcyjBX0029) |
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| Characterization of the Solution Set of E-convex Programming with Gateaux Differential |
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Li Jun, Peng Jianwen
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School of Mathematical Sciences, Chongqing Normal University
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| Abstract: |
| In this paper, we study the relation between the Gateaux differential of E-convex function and the E-differential, and obtain the necessary condition for the optimal solution of E-convex programming problems. According to these two conclusions, the optimal solution set characterization of E-convex programming problem is shown. |
| Key words: E-convex function E-convex programming Gateaux differential Characterization of solution set. |
