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中文摘要：
均衡问题是变分不等式与相补问题的有意义推广．提出了三类涉及集值映射的广义向量拟均衡问题．在适当的凸性要求与连续性条件下，利用Oettli引进的数值化函数、著名的Kneser极小极大定理和连续单位分解定理，讨论了这些集值映射的广义向量拟均衡问题解的存在性，所得到的结论推广和发展了近期一些研究结果．
英文摘要：
Equilibrium problem is the valuable generalization of variational inequality and its complementary. In this paper, three classes of generalized vector quasi - equilibrium problems with set - valued mappings are studied. By the scalarization function which was proposed by Oettli, the famous Kneser＇s min - max theorem and the theorem of continuous partition of unity, the existence theorems of solution for them are derived under suitable conditions of convexity and continuity.
同期刊论文项目
同项目期刊论文
Stampacchia Vector Equilibrium Problems and Vector Complementarity Problems, Advances in Mathematics
Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems
Note on Convergence Theorem of Iterative Sequences for Asymptotically Non-Expansive Mapping in a Uni
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