{"title":"关于S-次微分极性和Fréchet S-次微分","authors":"M. H. Alizadeh, Javad Hosseinabadi","doi":"10.1080/01630563.2023.2172034","DOIUrl":null,"url":null,"abstract":"Abstract The notion of -monotone polarity for -subdifferential is introduced and studied. Also, the concept of Fréchet -subdifferential is introduced and then some results regarding this concept are obtained. In addition, some particular relationships between the -subdifferential and Fréchet -subdifferential are presented.","PeriodicalId":54707,"journal":{"name":"Numerical Functional Analysis and Optimization","volume":"44 1","pages":"603 - 618"},"PeriodicalIF":1.4000,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On σ-Subdifferential Polarity and Fréchet σ-Subdifferential\",\"authors\":\"M. H. Alizadeh, Javad Hosseinabadi\",\"doi\":\"10.1080/01630563.2023.2172034\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The notion of -monotone polarity for -subdifferential is introduced and studied. Also, the concept of Fréchet -subdifferential is introduced and then some results regarding this concept are obtained. In addition, some particular relationships between the -subdifferential and Fréchet -subdifferential are presented.\",\"PeriodicalId\":54707,\"journal\":{\"name\":\"Numerical Functional Analysis and Optimization\",\"volume\":\"44 1\",\"pages\":\"603 - 618\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2023-04-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Numerical Functional Analysis and Optimization\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/01630563.2023.2172034\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Functional Analysis and Optimization","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/01630563.2023.2172034","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
On σ-Subdifferential Polarity and Fréchet σ-Subdifferential
Abstract The notion of -monotone polarity for -subdifferential is introduced and studied. Also, the concept of Fréchet -subdifferential is introduced and then some results regarding this concept are obtained. In addition, some particular relationships between the -subdifferential and Fréchet -subdifferential are presented.
期刊介绍：
Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal.
Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.
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