| 摘要: |
| 针对含有不等式约束、等式约束的多目标优化问题，其中目标函数和约束函数都是局部Lipschitz的，提出广义Stampacchia 拟向量变分不等式的定义，以此作为工具去刻画近似拟有效解或近似弱拟有效解.利用两类新定义的广义凸函数，在合适的约束品性条件下，Kuhn-Tucker向量临界点，多目标优化的解与广义Stampacchia 拟向量变分不等式在弱和强形式下的解之间的关系将会得到证明. |
| 关键词: 多目标问题 向量临界点 约束品性 拟向量变分不等式 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Generalized Quasi Vector Variational Inequalities and the Quasi Approximate Efficient Solutions |
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MA Yuan yuan
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| Abstract: |
| A multiobjective problem with a feasible set defined by inequality， equality and set constraints is considered， where the objective and constraint functions are locally Lipschitz. A generalized Stampacchia quasi vector variational inequality is formulated as a tool to characterize approximate quasi or weak quasi efficient points. By using two new classes of generalized convexity functions， under suitable constraint qualifications， the relations between Kuhn Tucker vector critical points， solutions to the multiobjective problem and solutions to the generalized Stampacchia vector variational inequality in both weak and strong forms are proved. |
| Key words: multiobjective problems vector critical points constraint qualifications quasi vector variational inequalities |
