| 广义强向量均衡问题解的存在性 |
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| 引用本文： | 张立刚,杨阳,赵亚莉.广义强向量均衡问题解的存在性[J].渤海大学学报(自然科学版),2011,32(1):14-17. |
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| 作者姓名： | 张立刚 杨阳 赵亚莉 |
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| 作者单位： | 渤海大学,数理学院,辽宁,锦州,121013 |
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| 基金项目： | 辽宁省博士科研启动基金资助项目 |
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| 摘 要： | 引入了一类广义强向量均衡问题,它是非常一般的包括许多强向量均衡问题、强向量似变分不等式、强向量变分不等式等问题作为特殊情形.利用Brouwer不动点定理在没有任何单调性的条件下证明了这类广义强向量均衡问题解的存在性,推广了这个方向的一些结果.
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| 关 键 词： | 凸性 仿射性 Brouwer不动点定理 广义强向量均衡问题 |
Existence of solution to generalized strong vector equilibrium problem |
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| ZHANG Li-gang,YANG Yang,ZHAO Ya-li.Existence of solution to generalized strong vector equilibrium problem[J].Journal of Bohai University:Natural Science Edition,2011,32(1):14-17. |
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| Authors: | ZHANG Li-gang YANG Yang ZHAO Ya-li |
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| Institution: | ZHANG Li-gang,YANG Yang,ZHAO Ya-li (College of Mathematics and Physics,Bohai University,Jinzhou 121013,China) |
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| Abstract: | The equilibriun problem for a class of generalized strong vector is introduced,and it is a special form for string vector equilibrium problems,string vector variation - like inequality problems;and strong vector variation inequality problems problems.By means of Brouwer fixed point theorem,the existence of solution to generalized strong vector equilibrium problem is proved,and some results aling this way are promoted. |
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| Keywords: | convexity affinity Brouwer fixed point theorem generalized strong vector equilibrium problem |
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