{"title":"一类广义算子拟平衡问题","authors":"A. Raouf, R. Gupta, Shivani Sharma","doi":"10.11648/J.AJAM.20210901.13","DOIUrl":null,"url":null,"abstract":"In this work, introduce and study a generalized operator quasi-equilibrium problems (in short, OQEP) in the setting of topological vector spaces. We prove some new existence results for the solution of this problem by applying C(f)-quasiconvex, escaping sequence in Hausdorff topological vector spaces. The results of this paper can generalize and unify previously known corresponding results of this area.","PeriodicalId":91196,"journal":{"name":"American journal of applied mathematics and statistics","volume":"140 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Class of Generalized Operator Quasi-Equilibrium Problems\",\"authors\":\"A. Raouf, R. Gupta, Shivani Sharma\",\"doi\":\"10.11648/J.AJAM.20210901.13\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, introduce and study a generalized operator quasi-equilibrium problems (in short, OQEP) in the setting of topological vector spaces. We prove some new existence results for the solution of this problem by applying C(f)-quasiconvex, escaping sequence in Hausdorff topological vector spaces. The results of this paper can generalize and unify previously known corresponding results of this area.\",\"PeriodicalId\":91196,\"journal\":{\"name\":\"American journal of applied mathematics and statistics\",\"volume\":\"140 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-03-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"American journal of applied mathematics and statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.11648/J.AJAM.20210901.13\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"American journal of applied mathematics and statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11648/J.AJAM.20210901.13","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Class of Generalized Operator Quasi-Equilibrium Problems
In this work, introduce and study a generalized operator quasi-equilibrium problems (in short, OQEP) in the setting of topological vector spaces. We prove some new existence results for the solution of this problem by applying C(f)-quasiconvex, escaping sequence in Hausdorff topological vector spaces. The results of this paper can generalize and unify previously known corresponding results of this area.
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