{"title":"广义弱混合矢量平衡问题的存在性与稳定性","authors":"","doi":"10.23952/jnfa.2023.2","DOIUrl":null,"url":null,"abstract":". The purpose of this paper is to investigate a new model, called the generalized weakly-mixed vector equilibrium problem and denoted by GWMVEP, which is an extension of vector equilibrium problems, vector variational inequalities and vector optimization problems. We first verify the existence of the GWMVEP on a noncompact domain by using the KKMF lemma. In addition, we identify a class of the GWMVEP with weaker assumptions such that most of the GWMVEPs are structurally stable and robust in the sense of the Baire classifi-cation.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence and stability of generalized weakly-mixed vector equilibrium problems\",\"authors\":\"\",\"doi\":\"10.23952/jnfa.2023.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The purpose of this paper is to investigate a new model, called the generalized weakly-mixed vector equilibrium problem and denoted by GWMVEP, which is an extension of vector equilibrium problems, vector variational inequalities and vector optimization problems. We first verify the existence of the GWMVEP on a noncompact domain by using the KKMF lemma. In addition, we identify a class of the GWMVEP with weaker assumptions such that most of the GWMVEPs are structurally stable and robust in the sense of the Baire classifi-cation.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23952/jnfa.2023.2\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jnfa.2023.2","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Existence and stability of generalized weakly-mixed vector equilibrium problems
. The purpose of this paper is to investigate a new model, called the generalized weakly-mixed vector equilibrium problem and denoted by GWMVEP, which is an extension of vector equilibrium problems, vector variational inequalities and vector optimization problems. We first verify the existence of the GWMVEP on a noncompact domain by using the KKMF lemma. In addition, we identify a class of the GWMVEP with weaker assumptions such that most of the GWMVEPs are structurally stable and robust in the sense of the Baire classifi-cation.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.