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新的广义混合矢量平衡问题(英文)
New Generalized Mixed Vector Equilibrium Problems
【摘要】 在Banach空间内引入和研究了一类新的广义混合矢量平衡问题.应用KKM定理和Nadler不动点定理,在适当假设下对这类新的广义混合矢量平衡问题的解证明了2个新的存在性定理.
【Abstract】 In this paper,a new class of generalized mixed vector equilibrium problems is introduced and studied in Banach spaces.By applying KKM theorem and Nadler’s fixed point theorem,some new existence theorems of solutions for the class of generalized mixed vector equilibrium problems are proved under suitable assumptions.
【关键词】 广义混合矢量平衡问题;
广义混合矢量似变分不等式问题;
Nadler定理;
KKM定理;
【Key words】 generalized mixed vector equilibrium problem; generalized mixed vector variational-like inequality problem; Nadler’s theorem; KKM theorem;
【Key words】 generalized mixed vector equilibrium problem; generalized mixed vector variational-like inequality problem; Nadler’s theorem; KKM theorem;
【基金】 supported by the Sichuan Province Leading Academic Discipline Project(SZD0406)~~
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2013年03期
- 【分类号】O177.2
- 【被引频次】1
- 【下载频次】27