MOND-WEIR TYPE MIXED SYMMETRIC FIRST AND SECOND ORDER DUALITY IN NON-DIFFERENTIABLE MATHEMATICAL PROGRAMMING
文献类型:期刊论文
作者 | Mishra, S. K.1; Wang, S. Y.2![]() |
刊名 | JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
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出版日期 | 2006 |
卷号 | 7期号:2页码:189-198 |
关键词 | Second order mixed symmetric dual model Non-differentiable programming Duality Second order generalized pseudo-convexity Support functions |
ISSN号 | 1345-4773 |
英文摘要 | In this paper, we have formulated first order as well as second order Mond-Weir type mixed symmetric dual problems for a class of non-differentiable nonlinear mathematical programming problems with multiple arguments. We have established weak duality theorems for each pair of problems under generalized pseudo-convexity and second order generalized pseudo-convexity assumptions. Several known results including Hou and Yang [Journal of Mathematical Analysis and Applications 255 (2001) 491], Mishra [European Journal of Operational Research 127 (2000) 507] and Mond and Schechter [Bulletin of the Australian Mathematical Society 53 (1996) 177] as well as others are obtained as special cases. |
资助项目 | Department of Science and Technology, Government of India[SR / FTP / MS-22 / 2001] ; Research Grants Council of Hong Kong |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000208543800004 |
出版者 | YOKOHAMA PUBL |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3140] ![]() |
专题 | 系统科学研究所 |
通讯作者 | Mishra, S. K. |
作者单位 | 1.Govind Ballabh Pant Univ Agr & Technol, Coll Basic Sci & Humanities, Dept Math Stat & Comp Sci, Pantnagar 263145, Uttar Pradesh, India 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 1000800, Peoples R China 3.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Mishra, S. K.,Wang, S. Y.,Lai, K. K.. MOND-WEIR TYPE MIXED SYMMETRIC FIRST AND SECOND ORDER DUALITY IN NON-DIFFERENTIABLE MATHEMATICAL PROGRAMMING[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS,2006,7(2):189-198. |
APA | Mishra, S. K.,Wang, S. Y.,&Lai, K. K..(2006).MOND-WEIR TYPE MIXED SYMMETRIC FIRST AND SECOND ORDER DUALITY IN NON-DIFFERENTIABLE MATHEMATICAL PROGRAMMING.JOURNAL OF NONLINEAR AND CONVEX ANALYSIS,7(2),189-198. |
MLA | Mishra, S. K.,et al."MOND-WEIR TYPE MIXED SYMMETRIC FIRST AND SECOND ORDER DUALITY IN NON-DIFFERENTIABLE MATHEMATICAL PROGRAMMING".JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 7.2(2006):189-198. |
入库方式: OAI收割
来源:数学与系统科学研究院
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