| FC-空间内的广义拟变分包含(不包含)问题组 |
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| 引用本文： | 丁协平.FC-空间内的广义拟变分包含(不包含)问题组[J].应用数学和力学,2010,31(5):516-525. |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学 数学与软件科学学院,成都 610066 |
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| 基金项目： | 四川省重点学科建设基金资助项目 |
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| 摘 要： | 应用丁协平在FC-空间内对集值映象证明的极大元存在性定理，在没有凸性结构的FC-空间内对广义拟变分包含(不包含)问题组的解证明了某些新的存在性定理．这些结果在较弱的条件下改进和推广了最近文献中的某些结果从拓朴矢量空间的闭凸子集到FC-空间．
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| 关 键 词： | 极大元 广义拟变分包含(不包含)问题组 部分对角拟凸 部分对角拟凹 FC-空间 |
| 收稿时间： | 1900-01-01 |
Systems of Generalized Quasi-Variational Inclusion(Disclusion )Problems in FC-Spaces |
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| DING Xie-ping.Systems of Generalized Quasi-Variational Inclusion(Disclusion )Problems in FC-Spaces[J].Applied Mathematics and Mechanics,2010,31(5):516-525. |
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| Authors: | DING Xie-ping |
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| Institution: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China |
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| Abstract: | By applying an existence theorem of maximal elements of set-valued mappings in FC-spaces due to the author,some new existence theorems of solutions for systems of generalized quasi-variational inclusion(disclusion)problems were proved in FC-spaces without convexity structure.These results improve and generalize some results in recent literature from closed convex subsets of topological vector spaces to FC-spaces under weaker conditions. |
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| Keywords: | maximal element system of generalized quasi-variational inclusion(disclusion)problems partially diagonally quasiconvex partially diagonally quasiconcave FC-space |
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