{"title":"一般不动点问题和分裂可行性问题的MK收缩黏度近似","authors":"","doi":"10.23952/jnfa.2023.23","DOIUrl":null,"url":null,"abstract":". In this paper, a new viscosity approximation method with projections and Meir-Keeler contractive mappings (MK contractions) for solving a common fixed point problem of an infinite family of nonexpansive mappings and a split feasibility problem with a bounded linear mapping is introduce and investigated. A solution theorem of strong convergence is obtained in infinite dimensional spaces.","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\":\"Viscosity approximation with MK contractions for a common fixed point problem and a split feasibility problem\",\"authors\":\"\",\"doi\":\"10.23952/jnfa.2023.23\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, a new viscosity approximation method with projections and Meir-Keeler contractive mappings (MK contractions) for solving a common fixed point problem of an infinite family of nonexpansive mappings and a split feasibility problem with a bounded linear mapping is introduce and investigated. A solution theorem of strong convergence is obtained in infinite dimensional spaces.\",\"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.2023.23\",\"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.2023.23","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Viscosity approximation with MK contractions for a common fixed point problem and a split feasibility problem
. In this paper, a new viscosity approximation method with projections and Meir-Keeler contractive mappings (MK contractions) for solving a common fixed point problem of an infinite family of nonexpansive mappings and a split feasibility problem with a bounded linear mapping is introduce and investigated. A solution theorem of strong convergence is obtained in infinite dimensional spaces.
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.