{"title":"Some results on the strict Fréchet differentiability of the metric projection operator in Hilbert spaces","authors":"Le Van Hien","doi":"10.1080/02331934.2024.2389243","DOIUrl":null,"url":null,"abstract":"In this paper, we first present a simpler proof of a result on the strict Fréchet differentiability of the metric projection operator onto closed balls centred at the origin in Hilbert spaces, whic...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"7 1","pages":""},"PeriodicalIF":1.6000,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optimization","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/02331934.2024.2389243","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we first present a simpler proof of a result on the strict Fréchet differentiability of the metric projection operator onto closed balls centred at the origin in Hilbert spaces, whic...
期刊介绍:
Optimization publishes refereed, theoretical and applied papers on the latest developments in fields such as linear, nonlinear, stochastic, parametric, discrete and dynamic programming, control theory and game theory.
A special section is devoted to review papers on theory and methods in interesting areas of mathematical programming and optimization techniques. The journal also publishes conference proceedings, book reviews and announcements.
All published research articles in this journal have undergone rigorous peer review, based on initial editor screening and anonymous refereeing by independent expert referees.