Nondifferentiable multiobjective programming under generalized d-univexity
文献类型：期刊论文
| 作者 | Mishra, SK; Wang, SY; Lai, KK |
| 刊名 | EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
 |
| 出版日期 | 2005 |
| 卷号 | 160期号:1页码:218-226 |
| 关键词 | multiobjective programming optimality duality pareto efficient solution generalized d-univexity |
| ISSN号 | 0377-2217 |
| DOI | 10.1016/S0377-2217(03)00439-9 |
| 英文摘要 | In this paper, we are concerned with a nondifferentiable multiobjective programming problem with inequality constraints. We introduce four new classes of generalized convex functions by combining the concepts of weak strictly pseudoinvex, strong pseudoinvex, weak quasi invex, weak pseudoinvex and strong quasi invex functions in Aghezzaf and Hachimi [Numer. Funct. Anal. Optim. 22 (2001) 775], d-invex functions in Antczak [Europ. J. Oper. Res. 137 (2002) 28] and univex functions in Bector et al. [Univex functions and univex nonlinear programming, Proc. Admin. Sci. Assoc. Canada, 1992, p. 115]. By utilizing the new concepts, we derive a Karush-Kuhn-Tucker sufficient optimality condition and establish Mond-Weir type and general Mond-Weir type duality results for the nondifferentiable multiobjective programming problem. (C) 2003 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Business & Economics ; Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000224168600016 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2048]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lai, KK |
| 作者单位 | 1.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China 2.Govind Ballabh Pant Univ Agr & Technol, Coll Basic Sci & Humanities, Dept Math Stat & Comp Sci, Pantnagar 263145, Uttar Pradesh, India 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mishra, SK,Wang, SY,Lai, KK. Nondifferentiable multiobjective programming under generalized d-univexity[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH,2005,160(1):218-226. |
| APA | Mishra, SK,Wang, SY,&Lai, KK.(2005).Nondifferentiable multiobjective programming under generalized d-univexity.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH,160(1),218-226. |
| MLA | Mishra, SK,et al."Nondifferentiable multiobjective programming under generalized d-univexity".EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 160.1(2005):218-226. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。