共查询到17条相似文献,搜索用时 62 毫秒
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向量拟平衡问题的本质解及解集的本质连通区 总被引:8,自引:1,他引:8
本文研究向量拟平衡问题,得到了向量拟平衡问题解的一个存在性结果,证明了在满足一定的连续性和凸性条件的问题构成的空间Y中,大多数(在Baire分类意义下)问题的解集是稳定的,并证明Y的某子集中,每个向量拟平衡问题的解集中至少存在一个本质连通区。作为应用,我们导出了多目标广义对策弱Pareto-Nash平衡点的存在性,证明了在满足一定的连续性和凸性条件的多目标广义对策构成的空间P中,大多数对策的弱Pareto-Nash平衡点是稳定的,并证明了P中的每个对策的弱Pareto-Nash平衡点集中至少有一个本质连通区。 相似文献
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我们在局部凸Hausdorff拓扑向量空间中,讨论了广义向量拟平衡问题解集映射的上半连续性以及闭性,并利用扰动间隙函数证明解集的Hausdorff下半连续性. 相似文献
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设X是一个实的Hausdorff拓扑向量空间,Y是一个实的局部凸向量空间,C是Y中的闭凸锥,K
X是一个紧子集.FX×X→Y是一个双向量函数,GK→2K是一个集合值映射.我们考虑下面的强拟均衡问题存在x∈G(x),使得对任意的y∈G(x),成立F(x,y)∈C.本文证明了当F是半连续时,上述问题解的存在性结论. 相似文献
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引入了广义向量拟平衡问题和广义集值拟平衡问题,得到了W-空间上广义向量拟平衡问题的存在性定理,作为推论,得到了W-空间上四类拟平衡问题的存在性定理,这些结果推广和改进了文献[1-7]的相应结果。 相似文献
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In this paper, a system of generalized symmetric vector quasi-equilibrium problems for set-valued mappings is introduced. By using a scalarization method and a fixed-point theorem, the existence result for its solution is established. The main result extends the corresponding results in Fu (J. Math. Anal. Appl. 285, 708-713, 2003) and Zhang, Chen and Li (OR Transactions 10, 24-32, 2006). 相似文献
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研究拓扑向量空间上弱广义向量拟似变分不等式解的存在性问题.与Khaliq和Rashid等在单调或伪单调假设条件下,利用KKM定理证明解的存在性不同,在集值映射是非空凸值映射并且有开下截口的条件下,利用Fan-Browder不动点原理证明解的存在性. 相似文献
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Q. H. Ansari S. Schaible J. C. Yao 《Journal of Optimization Theory and Applications》2000,107(3):547-557
In this paper, we introduce a system of vector equilibrium problems andprove the existence of a solution. As an application, we derive someexistence results for the system of vector variational inequalities. We alsoestablish some existence results for the system of vector optimizationproblems, which includes the Nash equilibrium problem as a special case. 相似文献
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In this paper, we consider the system of vector quasi-equilibrium problems with or without involving -condensing maps and prove the existence of its solution. Consequently, we get existence results for a solution to the system of vector quasi-variational-like inequalities. We also prove the equivalence between the system of vector quasi-variational-like inequalities and the Debreu type equilibrium problem for vector-valued functions. As an application, we derive some existence results for a solution to the Debreu type equilibrium problem for vector-valued functions. 相似文献
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首次对含参集值向量拟均衡问题的适定性进行了研究,并在适当的条件下建立了所研究问题适定性的充分条件. 相似文献
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Lai-jiu Lin 《Journal of Global Optimization》2006,34(1):15-32
In this paper, we establish the existence theorems of the generalized vector quasi-equilibrium problems. From some existence
theorem, we establish fixed point theorems for a family of lower semicontinuous or nonexpansive multivalued mappings. We also
obtain the existence theorems of system of mixed generalized vector variational-like inequalities and existence theorems of
the Debreu vector equilibrium problems and the Nash vector equilibrium problems. 相似文献
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在局部G-凸空间内引入和研究了几类广义矢量拟平衡问题(GVQEP).包含了大多数广义矢量平衡问题,广义矢量变分不等式问题,拟平衡问题和拟变分不等式问题作为特殊情形.首先在局部G-凸空间内对一人对策证明了一个平衡存在性定理.作为应用,在非紧局部G-凸空间内对GVQEP的解建立了某些新的存在定理.这些结果和论证方法与最近文献中的结果和论证方法相比较是新的和完全不同的. 相似文献
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This paper deals with generalized vector quasi-equilibrium problems. By virtue of a nonlinear scalarization function, the
gap functions for two classes of generalized vector quasi-equilibrium problems are obtained. Then, from an existence theorem
for a generalized quasi-equilibrium problem and a minimax inequality, existence theorems for two classes of generalized vector
quasi-equilibrium problems are established.
This research is partially supported by the Postdoctoral Fellowship Scheme of The Hong Kong Polytechnic University and the
National Natural Science Foundation of China. 相似文献
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