{"title":"下半泰勒映射和极值的充分条件","authors":"M. Sukhinin","doi":"10.1070/SM1992V073N01ABEH002544","DOIUrl":null,"url":null,"abstract":"Sufficient conditions for an extremum of second-order type are considered on the basis of the concepts (introduced in the paper) of -Taylor mappings and lower -semi-Taylor mappings, where is a norm in a linear space , and is a topology in a subset . Examples are given illustrating the novelty of the results obtained. Among the references devoted to sufficient conditions for an extremum, [1] (§3.4) and [2] (§6) should be mentioned.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"146 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"LOWER SEMI-TAYLOR MAPPINGS AND SUFFICIENT CONDITIONS FOR AN EXTREMUM\",\"authors\":\"M. Sukhinin\",\"doi\":\"10.1070/SM1992V073N01ABEH002544\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Sufficient conditions for an extremum of second-order type are considered on the basis of the concepts (introduced in the paper) of -Taylor mappings and lower -semi-Taylor mappings, where is a norm in a linear space , and is a topology in a subset . Examples are given illustrating the novelty of the results obtained. Among the references devoted to sufficient conditions for an extremum, [1] (§3.4) and [2] (§6) should be mentioned.\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"146 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1992V073N01ABEH002544\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V073N01ABEH002544","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
LOWER SEMI-TAYLOR MAPPINGS AND SUFFICIENT CONDITIONS FOR AN EXTREMUM
Sufficient conditions for an extremum of second-order type are considered on the basis of the concepts (introduced in the paper) of -Taylor mappings and lower -semi-Taylor mappings, where is a norm in a linear space , and is a topology in a subset . Examples are given illustrating the novelty of the results obtained. Among the references devoted to sufficient conditions for an extremum, [1] (§3.4) and [2] (§6) should be mentioned.
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