锥上复空间的对称对偶性

Q3 Decision Sciences Yugoslav Journal of Operations Research Pub Date : 2021-01-01 DOI:10.2298/YJOR2005015004A

I. Ahmad, D. Agarwal, Kumar Shiv

{"title":"锥上复空间的对称对偶性","authors":"I. Ahmad, D. Agarwal, Kumar Shiv","doi":"10.2298/YJOR2005015004A","DOIUrl":null,"url":null,"abstract":"Duality theory plays an important role in optimization theory. It has been extensively used for many theoretical and computational problems in mathematical programming. In this paper duality results are established for first and second order Wolfe and Mond-Weir type symmetric dual programs over general polyhedral cones in complex spaces. Corresponding duality relations for nondifferentiable case are also stated. This work will also remove inconsistencies in the earlier work from the literature.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"179 3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Symmetric duality in complex spaces over cones\",\"authors\":\"I. Ahmad, D. Agarwal, Kumar Shiv\",\"doi\":\"10.2298/YJOR2005015004A\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Duality theory plays an important role in optimization theory. It has been extensively used for many theoretical and computational problems in mathematical programming. In this paper duality results are established for first and second order Wolfe and Mond-Weir type symmetric dual programs over general polyhedral cones in complex spaces. Corresponding duality relations for nondifferentiable case are also stated. This work will also remove inconsistencies in the earlier work from the literature.\",\"PeriodicalId\":52438,\"journal\":{\"name\":\"Yugoslav Journal of Operations Research\",\"volume\":\"179 3\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Yugoslav Journal of Operations Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/YJOR2005015004A\",\"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/YJOR2005015004A","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Decision Sciences","Score":null,"Total":0}

引用次数: 0

摘要

对偶理论在优化理论中占有重要地位。它已被广泛应用于数学规划中的许多理论和计算问题。本文建立了复空间中一般多面体锥上的一、二阶Wolfe和Mond-Weir型对称对偶规划的对偶结果。给出了不可微情况下对应的对偶关系。这项工作还将从文献中删除早期工作中的不一致之处。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Symmetric duality in complex spaces over cones

Duality theory plays an important role in optimization theory. It has been extensively used for many theoretical and computational problems in mathematical programming. In this paper duality results are established for first and second order Wolfe and Mond-Weir type symmetric dual programs over general polyhedral cones in complex spaces. Corresponding duality relations for nondifferentiable case are also stated. This work will also remove inconsistencies in the earlier work from the literature.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊