| FC-空间内具有广义拟变分关系约束组的数学规划(英文) |
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| 引用本文： | 丁协平.FC-空间内具有广义拟变分关系约束组的数学规划(英文)[J].四川师范大学学报(自然科学版),2012(1):1-7. |
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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 |
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| 基金项目： | supported by the NSF of Sichuan Education Department(SZD0406)~~ |
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| 摘 要： | 在FC-空间内引入和研究了一类广义拟变分关系问题组.使用作者对集值映像建立的极大元存在性定理,在非紧FC-空间内证明了广义拟变分关系问题组解集是非空和紧的.作为应用,在相当温和的假设下对具有广义拟变分关系约束组的数学规划的解证明了一个新的存在性定理.
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| 关 键 词： | 广义拟变分关系问题组 极大元 具有广义拟变分关系约束组的数学规划 FC-空间 |
Mathematical Programs with System of Generalized Quasi-variational Relation Constraints in FC-Spaces |
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| DING Xie-ping.Mathematical Programs with System of Generalized Quasi-variational Relation Constraints in FC-Spaces[J].Journal of Sichuan Normal University(Natural Science),2012(1):1-7. |
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| Authors: | DING Xie-ping |
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| Institution: | DING Xie-ping(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
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| Abstract: | In this paper,a system of generalized quasi-variational relation problems is introduced and studied in FC-spaces.By using an existence theorem of maximal elements of set-valued mappings due to author,the nonemptyness and compactness of solution set for the system of generalized quasi-variational relation problems are proved in noncompact FC-spaces.As applications,a new existence theorem of solutions for mathematical programs with the system of generalized quasi-variational relation constraints is obtained under quite mild conditions. |
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| Keywords: | system of generalized quasi-variational relation problems maximal element mathematical programs with the system of generalized quasi-variational relation constraints FC-spaces |
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