R. Dubey, Rajnish Kumar, Khursheed Alam, L. Mishra, V. Mishra
{"title":"广义假设下任意锥上一类新的统一不可微高阶对称对偶定理","authors":"R. Dubey, Rajnish Kumar, Khursheed Alam, L. Mishra, V. Mishra","doi":"10.2298/yjor210218020d","DOIUrl":null,"url":null,"abstract":"In the present paper, a newly combined higher-order non-differentiable symmetric duality in scalar-objective programming over arbitrary cones is formulated. In literature we have discussed primal-dual results with arbitrary cones, while in this article, we have derived combined result with one model over arbitrary cones. The theorems of duality are derived for these problems under ?-pseudoinvexity/?-invexity/C-pseudoconvexity/C-convexity speculations over arbitrary cones.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A class of new type unified non-differentiable higher order symmetric duality theorems over arbitrary cones under generalized assumptions\",\"authors\":\"R. Dubey, Rajnish Kumar, Khursheed Alam, L. Mishra, V. Mishra\",\"doi\":\"10.2298/yjor210218020d\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper, a newly combined higher-order non-differentiable symmetric duality in scalar-objective programming over arbitrary cones is formulated. In literature we have discussed primal-dual results with arbitrary cones, while in this article, we have derived combined result with one model over arbitrary cones. The theorems of duality are derived for these problems under ?-pseudoinvexity/?-invexity/C-pseudoconvexity/C-convexity speculations over arbitrary cones.\",\"PeriodicalId\":52438,\"journal\":{\"name\":\"Yugoslav Journal of Operations Research\",\"volume\":\"11 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Yugoslav Journal of Operations Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/yjor210218020d\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Decision Sciences\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yugoslav Journal of Operations Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/yjor210218020d","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Decision Sciences","Score":null,"Total":0}
A class of new type unified non-differentiable higher order symmetric duality theorems over arbitrary cones under generalized assumptions
In the present paper, a newly combined higher-order non-differentiable symmetric duality in scalar-objective programming over arbitrary cones is formulated. In literature we have discussed primal-dual results with arbitrary cones, while in this article, we have derived combined result with one model over arbitrary cones. The theorems of duality are derived for these problems under ?-pseudoinvexity/?-invexity/C-pseudoconvexity/C-convexity speculations over arbitrary cones.