| GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS IN LOCALLY G-CONVEX SPACES |
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| 引用本文： | 丁协平. GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS IN LOCALLY G-CONVEX SPACES[J]. 应用数学和力学(英文版), 2005, 26(5): 563-570. DOI: 10.1007/BF02466329 |
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| 作者姓名： | 丁协平 |
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| 作者单位： | College of |
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| 基金项目： | theNaturalScienceFoundationofEducationalDepartmentofSichuanProvince(No .2 0 0 3A0 81 ,SZD0 40 6) |
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| 摘 要： | IntroductionLetX ,YbetwotopologicalspacesandZbeanonemptyset.LetF∶X×X→ 2 Z,A∶X→ 2 XandC∶X→ 2 Zbeset_valuedmappingswhere2 ZdenotesthefamilyofallsubsetsofZ . Thegeneralizedvectorquasi_equilibriumproblemofType (Ⅰ ) (inshort,GVQEP(Ⅰ ) )istofind ^x∈Xsuchthat^x∈A( ^x)andF( ^x ,z) C( ^x) , z∈A( ^x) . ( 1 ) Thegeneralizedvectorquasi_equilibriumproblemofType (Ⅱ ) (inshort,GVQEP(Ⅱ ) )istofind ^x∈Xsuchthat^x∈A( ^x)andF( ^x ,z) C( ^x) , z∈A( ^x) . ( 2 ) …
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| 关 键 词： | 广义变量准平衡问题 一人游戏 局部G-凸空间 平衡存在定理 |
| 收稿时间： | 2003-06-30 |
Generalized vector quasi-equilibrium problems in locally G-convex spaces |
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| Ding Xie-ping. Generalized vector quasi-equilibrium problems in locally G-convex spaces[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(5): 563-570. DOI: 10.1007/BF02466329 |
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| Authors: | Ding Xie-ping |
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| Affiliation: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P.R. China |
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| Abstract: | Some classes of generalized vector quasi-equilibrium problems (in short,GVQEP) are introduced and studied in locally G-convex spaces which includes most of generalized vector equilibrium problems, generalized vector variational inequality problems, quasi-equilibrium problems and quasi-variational inequality problems as special cases. First, an equilibrium existence theorem for one person games is proved in locally G-convex spaces. As applications, some new existence theorems of solutions for the GVQEP are established in noncompact locally G-convex spaces. These results and argument methods are new and completely different from that in recent literature. |
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| Keywords: | generalized vector quasi-equilibrium problem one person game equilibrium locally G-convex space |
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