{"title":"Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications","authors":"Deepesh Kumar Patel, Bhupeshwar Patel","doi":"10.1080/01630563.2023.2267294","DOIUrl":null,"url":null,"abstract":"AbstractThis paper introduces new kind of algorithms for multivalued non-self mapping to obtain the best proximity point without assuming the continuity of involved mapping. Some non-trivial examples are presented to illustrate the facts. Consequently, an application to finding an optimal approximate solution for the homotopy theory is also discussed.Keywords: Best proximity pointFeng-Liu type F-contractionmultivalued almost F-contractionweak P-property and homotopyMATHEMATICS SUBJECT CLASSIFICATION: 47H1054H2554E50 AcknowledgmentsThe authors would like to thank the editor and reviewers for their valuable comments.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-10-18","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/10.1080/01630563.2023.2267294","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
AbstractThis paper introduces new kind of algorithms for multivalued non-self mapping to obtain the best proximity point without assuming the continuity of involved mapping. Some non-trivial examples are presented to illustrate the facts. Consequently, an application to finding an optimal approximate solution for the homotopy theory is also discussed.Keywords: Best proximity pointFeng-Liu type F-contractionmultivalued almost F-contractionweak P-property and homotopyMATHEMATICS SUBJECT CLASSIFICATION: 47H1054H2554E50 AcknowledgmentsThe authors would like to thank the editor and reviewers for their valuable comments.
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.