MOND-WEIR TYPE MIXED SYMMETRIC FIRST AND SECOND ORDER DUALITY IN NON-DIFFERENTIABLE MATHEMATICAL PROGRAMMING

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	MOND-WEIR TYPE MIXED SYMMETRIC FIRST AND SECOND ORDER DUALITY IN NON-DIFFERENTIABLE MATHEMATICAL PROGRAMMING
	Mishra, S. K.1; Wang, S. Y.2 ; Lai, K. K.3
	2006
发表期刊	JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
ISSN	1345-4773
卷号	7 期号:2 页码:189-198
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.
关键词	Second order mixed symmetric dual model Non-differentiable programming Duality Second order generalized pseudo-convexity Support functions
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000208543800004
出版者	YOKOHAMA PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3141
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.