{"title":"分项变分系统的纳什均衡","authors":"","doi":"10.23952/jnfa.2023.6","DOIUrl":null,"url":null,"abstract":". In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of fixed point equations. The problem is considered in a more general form and the initial conditions are also improved, without changing the final conclusion. This is achieved by combining the idea of a solution operator with monotone operator techniques and classical fixed point principles. An application to a coupled system with Dirichlet boundary conditions involving the p -Laplacian is provided.","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":"1","resultStr":"{\"title\":\"Nash equilibria for componentwise variational systems\",\"authors\":\"\",\"doi\":\"10.23952/jnfa.2023.6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of fixed point equations. The problem is considered in a more general form and the initial conditions are also improved, without changing the final conclusion. This is achieved by combining the idea of a solution operator with monotone operator techniques and classical fixed point principles. An application to a coupled system with Dirichlet boundary conditions involving the p -Laplacian is provided.\",\"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\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23952/jnfa.2023.6\",\"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.2023.6","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Nash equilibria for componentwise variational systems
. In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of fixed point equations. The problem is considered in a more general form and the initial conditions are also improved, without changing the final conclusion. This is achieved by combining the idea of a solution operator with monotone operator techniques and classical fixed point principles. An application to a coupled system with Dirichlet boundary conditions involving the p -Laplacian is provided.
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.