Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions

被引：8

作者：

Mishra, S. K. ^{[2
]}

Wang, S. Y. ^{[1
]}

Lai, K. K. ^{[3
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, 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] City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China

来源：

MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 2008年 / 67卷 / 03期

关键词：

nonsmooth multiobjective optimization; efficient solution; type I functions; generalized convexity; mixed duality;

D O I：

10.1007/s00186-007-0202-9

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

A nonsmooth multiobjective optimization problem involving generalized (F, alpha, rho, d)-type I function is considered. Karush-Kuhn-Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Duality results are obtained for mixed type dual under the aforesaid assumptions.

引用

页码：493 / 504

页数：12

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