{"title":"Sufficiency in Multiobjective Programming Involving Extended (F, alpha, rho, d)-type I Functions","authors":"Guolin Yu","doi":"10.1109/CSO.2011.247","DOIUrl":null,"url":null,"abstract":"In this paper, the extended $(F,\\alpha,\\rho,d)$-type I functions are introduced for a differentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible solution to be a weak efficient solution in constraint multiobjective programming problem. The results deepen and enrich the content of optimization theory and applications.","PeriodicalId":210815,"journal":{"name":"2011 Fourth International Joint Conference on Computational Sciences and Optimization","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Joint Conference on Computational Sciences and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CSO.2011.247","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the extended $(F,\alpha,\rho,d)$-type I functions are introduced for a differentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible solution to be a weak efficient solution in constraint multiobjective programming problem. The results deepen and enrich the content of optimization theory and applications.
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