共查询到19条相似文献,搜索用时 125 毫秒
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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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研究向量集值映射的拟均衡问题的有效解,利用数值化方法与不动点定理,得到解的存在性定理.作为应用,得到广义向量鞍点,向量变分不等式与向量互补问题的存在性定理. 相似文献
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在FC-空间中引入和研究了一类广义向量变分型不等式(GVVTIP),包含了大多数向量平衡问题,向量变分不等式问题,广义向量平衡问题和广义向量变分不等式问题作为特殊情况.利用F-KKM定理,在非紧FC-空间中,建立了关于GVVTIP解的某些新的存在定理.这些定理统一、改进和推广了文献中的一些重要的已知结果. 相似文献
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讨论了一类具集值映射的广义强向量拟均衡问题(GSVQEP)解的存在性.利用连续选择定理和不动点定理,在没有任何单调性假设下得到了GSVQEP解的存在性定理. 相似文献
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FC-空间中含伪单调集值映象的广义向量平衡问题 总被引:1,自引:1,他引:0
在FC-空间内引入和研究了几类含伪单调集值映象的广义向量平衡问题.利用第二作者的KKM定理,在FC空间内对这些广义向量平衡问题证明了平衡点的存在性定理,改进与推广了近期文献中的相应结果. 相似文献
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在没有线性结构的广义凸空间内研究了一类拟平衡问题和一类约束多目标对策.首先在非紧广义凸空间内对拟平衡问题证明了两个解的存在性定理.然后作为拟平衡存在定理的应用,在广义凸空间内对约束多目标对策建立了几个加权Nash-平衡和帕雷多平衡存在定理.这些定理改进、统一和推广了最近文献中多目标对策的相应结果. 相似文献
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丁协平 《数学物理学报(B辑英文版)》2007,27(3):522-534
By applying a maximal element theorem on product FC-space due to author, some new equilibrium existence theorems for generalized games with fuzzy constraint corre- spondences are proved in FC-spaces.By using these equilibrium existence theorems,some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are established in noncompact product FC-spaces.These results improve and generalize some recent results in literature to product FC-spaces without any convexity structure. 相似文献
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In this paper, the notion of the generalized Tykhonov well-posedness for system of vector quasi-equilibrium problems are investigated.
By using the gap functions of the system of vector quasi-equilibrium problems, we establish the equivalent relationship between
the generalized Tykhonov well-posedness of the system of vector quasi-equilibrium problems and that of the minimization problems.
We also present some metric characterizations for the generalized Tykhonov well-posedness of the system of vector quasi-equilibrium
problems. The results in this paper are new and extend some known results in the literature. 相似文献
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In this paper, we introduce four new types of the system of generalized vector quasi-equilibrium problems with set-valued maps which include system of vector quasi-equilibrium problems, system of vector equilibrium problems, system of variational inequality problems, and vector equilibrium problems in the literature as special cases. We prove the existence of solutions for such kinds of system of generalized vector quasi-equilibrium problems. Consequently, we derive some existence results of a solution for the system of vector quasi-equilibrium problems and the generalized Debreu type equilibrium problem for vector-valued functions. 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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丁协平 《应用泛函分析学报》2010,12(4):289-304
在局部FC-一致空间内引入和研究了某些新的联立广义矢量拟平衡问题组和具有联立广义矢量拟平衡组约束的数学规划.应用作者在局部FC-一致空间得到的Himmelberg型不动点定理,首先在局部FC-一致空间内对联立广义矢量拟平衡问题组的解证明了某些新的存在性定理.作为应用,对具有联立广义矢量拟平衡组约束的数学规划的解得到了某些新的存在性定理. 相似文献
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The present paper is in two-fold. The first fold is devoted to the existence theory of equilibria for generalized abstract economy with a lower semicontinuous constraint correspondence and a fuzzy constraint correspondence defined on a noncompact/nonparacompact strategy set. In the second fold, we consider systems of generalized vector quasi-equilibrium problems for multivalued maps (for short, SGVQEPs) which contain systems of vector quasi-equilibrium problems, systems of generalized mixed vector quasi-variational inequalities and Debreu-type equilibrium problems for vector valued functions as special cases. By using the results of first fold, we establish some existence results for solutions of SGVQEPs. 相似文献
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乘积拓扑空间内的重合点组定理及应用(Ⅱ) 总被引:1,自引:0,他引:1
应用(Ⅰ)中得到的定义在非紧FC-空间的乘积空间上的两簇集值映射的重合点定理,在FC-空间内对矢量平衡问题组、不等式组和极小极大定理组建立了一些新的存在性定理.这些结果推广了最近文献中某些已知结果.. 相似文献
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Xie-Ping Ding Jen-Chih Yao Lai-Jiu Lin 《Journal of Mathematical Analysis and Applications》2004,298(2):398-410
In this paper we establish a collectively fixed point theorem and an equilibrium existence theorem for generalized games in product locally G-convex uniform spaces. As applications, some new existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are derived in product locally G-convex uniform spaces. These theorems are new and generalize some known results in the literature. 相似文献
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朱才菊 《数学的实践与认识》2014,(17)
在FC-空间中建立了一个不动点定理,推广了近期文献的一个相关结论利用这个结果,我们建立了一些广义型定理,推广了著名的截口定理到FC-空间中借助这个截口定理,在FC-空间得到一些新的广义向量均衡问题解的存在性定理. 相似文献