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中文摘要：
引进了集值映射的近似拟不变凸概念，它比拟不变凸性更弱。举例说明该凸性是拟不变凸性的真推广。借助广义切上图导数的性质给出了集值优化问题取得弱有效元的必要条件。当目标函数是近似拟不变凸时，得到了集值优化问题取得弱有效元的充分条件。
英文摘要：
The concept of near preinvexity was introduced,which is weaker than preinvexity. An example was given to illustrate that near preinvexity is a properly generalization of preinvexity. With the help of the properties of generalized contingent epiderivative,a necessary optimality condition was established for set-valued optimization to attain its weakly efficient elements. When objective function is nearly preinvex,for weakly efficient elements an optimality sufficient condition was also derived.
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