| 局部FC-一致空间内的联立广义矢量拟平衡问题组(英文) |
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| 引用本文： | 丁协平.局部FC-一致空间内的联立广义矢量拟平衡问题组(英文)[J].四川师范大学学报(自然科学版),2009,32(1). |
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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,四川,成都,610066 |
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| 基金项目： | 四川教育厅自然科学重点研究基金 |
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| 摘 要： | 在局部FC-一致空间内引入和研究了某些新的广义矢量拟平衡问题组和联立广义矢量拟平衡问题组.应用KKM型定理和作者在局部FC-一致空间得到的Himmelberg型不动点定理,首先在局部FC-一致空间内对两族集值映象证明了一个新的重合点定理.作为应用,在局部FC-一致空间内得到了广义矢量拟平衡问题组和联立广义矢量拟平衡问题组的解的某些新的存在性定理.这些结果推广了文献中某些已知结果.
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| 关 键 词： | 重合点 紧闭集值映象 广义矢量拟平衡问题组 联立广义矢量拟平衡问题组 局部FC-一致空间 |
Systems of Simultaneous Generalized Vector Quasi-equilibrium Problems in Locally FC-uniform Spaces |
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| DING Xie-ping.Systems of Simultaneous Generalized Vector Quasi-equilibrium Problems in Locally FC-uniform Spaces[J].Journal of Sichuan Normal University(Natural Science),2009,32(1). |
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| Authors: | DING Xie-ping |
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| Institution: | College of Mathematics and Software Science;Sichuan Normal University;Chengdu 610066;Sichuan |
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| Abstract: | Some new systems of generalized vector quasi-equilibrium problems and simultaneous generalized vector quasi-equilibrium problems are introduced and studied in locally FC-uniform spaces.By using a KKM type theorem and a Himmelberg type fixed point theorem in locally FC-uniform spaces due to author,a new coincidence point theorem for two families of set-valued mappings is first proved in locally FC-uniform spaces.As applications,some new existence theorems of solutions for the systems of generalized vector qu... |
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| Keywords: | Coincidence points Compact closed set-valued mapping System of generalized vector quasi-equi-librium problems System of simultaneous generalized vector quasi-equilibrium problems Locally FC-uniform space |
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