Teodoro Lara, N. Merentes, Roy Quintero, E. Rosales
{"title":"集值函数的强m-凸性","authors":"Teodoro Lara, N. Merentes, Roy Quintero, E. Rosales","doi":"10.2478/amsil-2023-0003","DOIUrl":null,"url":null,"abstract":"Abstract In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also exhibited.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":"37 1","pages":"82 - 94"},"PeriodicalIF":0.4000,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Strong m-Convexity of Set-Valued Functions\",\"authors\":\"Teodoro Lara, N. Merentes, Roy Quintero, E. Rosales\",\"doi\":\"10.2478/amsil-2023-0003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also exhibited.\",\"PeriodicalId\":52359,\"journal\":{\"name\":\"Annales Mathematicae Silesianae\",\"volume\":\"37 1\",\"pages\":\"82 - 94\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-02-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Mathematicae Silesianae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/amsil-2023-0003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematicae Silesianae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/amsil-2023-0003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also exhibited.