{"title":"具有控制结构的向量平衡问题及其解集性质","authors":"Fu Jun-yi, San-hua Wang","doi":"10.3724/SP.J.1160.2012.00001","DOIUrl":null,"url":null,"abstract":"In this paper,a kind of vector equilibrium problem with domination structure and a new pseudomonotonicity for vector mappings are presented.Existence of solutions for vector equilibrium problem with domination structure and the compactness and convexity of solution set are established. As applications,existence of solutions for vector variational inequalities and vector complementarity problems with domination structure are derived.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"1"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Vector Equilibrium Problem with Domination Structure and Property of Its Solution Set\",\"authors\":\"Fu Jun-yi, San-hua Wang\",\"doi\":\"10.3724/SP.J.1160.2012.00001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper,a kind of vector equilibrium problem with domination structure and a new pseudomonotonicity for vector mappings are presented.Existence of solutions for vector equilibrium problem with domination structure and the compactness and convexity of solution set are established. As applications,existence of solutions for vector variational inequalities and vector complementarity problems with domination structure are derived.\",\"PeriodicalId\":62008,\"journal\":{\"name\":\"应用泛函分析学报\",\"volume\":\"14 1\",\"pages\":\"1\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"应用泛函分析学报\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.3724/SP.J.1160.2012.00001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"应用泛函分析学报","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.3724/SP.J.1160.2012.00001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Vector Equilibrium Problem with Domination Structure and Property of Its Solution Set
In this paper,a kind of vector equilibrium problem with domination structure and a new pseudomonotonicity for vector mappings are presented.Existence of solutions for vector equilibrium problem with domination structure and the compactness and convexity of solution set are established. As applications,existence of solutions for vector variational inequalities and vector complementarity problems with domination structure are derived.
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