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集值分析和集值最优化
Set-valued Analysis and Optimization
【摘要】 概述了集值分析的一些最新进展,并以集值映射的凸性、连续性、广义导数或次梯度为例说明了集值映射与单值映射的关系是矛盾的普遍性与特殊性的关系。
【Abstract】 The latest developments of setvalued Analyses are illustrated. We make use of the convexity, continuity, subgradient or derivative to show that the relationship between setvalued mapping and singlevalued mapping is the same as that between the universatity and speciality of the contradictory.
【关键词】 集值映射;
单值映射;
普遍性;
特殊性;
【Key words】 set-valued mapping; single-valued mapping; universality; speciality;
【Key words】 set-valued mapping; single-valued mapping; universality; speciality;
【基金】 国家自然科学基金(10171118);重庆市应用基础项目(000204)。
- 【文献出处】 重庆师范学院学报(自然科学版) ,Journal of Chongqing Teachers College(Natural Science Edition) , 编辑部邮箱 ,2003年03期
- 【分类号】O177
- 【被引频次】3
- 【下载频次】144