{"title":"2-内积空间上的变分不等式","authors":"H. Fathi, S. Hosseinioun","doi":"10.29252/MACO.1.2.7","DOIUrl":null,"url":null,"abstract":"We introduce variational inequality problems on 2-inner product spaces and prove several existence results for variational inequalities defined on closed convex sets. Also, the relation between variational inequality problems, best approximation problems and fixed point theory is studied. MSC(2010): 58E35; 46B99; 47H10.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Variational Inequalities on 2-Inner Product Spaces\",\"authors\":\"H. Fathi, S. Hosseinioun\",\"doi\":\"10.29252/MACO.1.2.7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce variational inequality problems on 2-inner product spaces and prove several existence results for variational inequalities defined on closed convex sets. Also, the relation between variational inequality problems, best approximation problems and fixed point theory is studied. MSC(2010): 58E35; 46B99; 47H10.\",\"PeriodicalId\":360771,\"journal\":{\"name\":\"Mathematical Analysis and Convex Optimization\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Analysis and Convex Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29252/MACO.1.2.7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Analysis and Convex Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29252/MACO.1.2.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Variational Inequalities on 2-Inner Product Spaces
We introduce variational inequality problems on 2-inner product spaces and prove several existence results for variational inequalities defined on closed convex sets. Also, the relation between variational inequality problems, best approximation problems and fixed point theory is studied. MSC(2010): 58E35; 46B99; 47H10.
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