{"title":"具有广义一致Bρ-(p, r)-不变性函数的多目标规划问题的Wolfe对偶性","authors":"Rong-bo Wang, Qiang Feng","doi":"10.1109/ICICIP.2012.6391439","DOIUrl":null,"url":null,"abstract":"In this paper, by using a new nonsmooth generalized uniformBρ-(p, r)-invexity, the wolfe duality problem of the multiobjective programming problems are considered, and dulity results are established. The work generalize many results on programming problems with invex functions, B-Invexity functions, (p, r)-invexity functions, and B-(p, r)-invexity function.","PeriodicalId":376265,"journal":{"name":"2012 Third International Conference on Intelligent Control and Information Processing","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Wolfe duality for multiobjective programming problems with generalized uniform Bρ-(p, r)-invexity functions\",\"authors\":\"Rong-bo Wang, Qiang Feng\",\"doi\":\"10.1109/ICICIP.2012.6391439\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, by using a new nonsmooth generalized uniformBρ-(p, r)-invexity, the wolfe duality problem of the multiobjective programming problems are considered, and dulity results are established. The work generalize many results on programming problems with invex functions, B-Invexity functions, (p, r)-invexity functions, and B-(p, r)-invexity function.\",\"PeriodicalId\":376265,\"journal\":{\"name\":\"2012 Third International Conference on Intelligent Control and Information Processing\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Third International Conference on Intelligent Control and Information Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIP.2012.6391439\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Third International Conference on Intelligent Control and Information Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP.2012.6391439","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Wolfe duality for multiobjective programming problems with generalized uniform Bρ-(p, r)-invexity functions
In this paper, by using a new nonsmooth generalized uniformBρ-(p, r)-invexity, the wolfe duality problem of the multiobjective programming problems are considered, and dulity results are established. The work generalize many results on programming problems with invex functions, B-Invexity functions, (p, r)-invexity functions, and B-(p, r)-invexity function.
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