On nonsmooth multiobjective programming with generalized univexity

被引：0

作者：

Mishra, S. K. ^{[1
,2
]}

Giorgi, G. ^{[3
]}

Lai, K. K. ^{[2
]}

机构：

[1] GB Pant Univ Agr & Technol, Coll Basic Sci & Humanities, Dept Math Stat & Comp Sci, Pantnagar, Uttar Pradesh, India

[2] City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China

[3] Univ Pavia, Sect Gen & Appl Math, Dept Management Sci, Pavia, Italy

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2007年 / 10卷 / 05期

关键词：

Lipschitz univex functions; type I functions; optimality conditions; duality; efficiency;

D O I：

10.1080/09720502.2007.10700525

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A nonsmooth multiobjective optimization problem involving generalized Lipschitz univex functions is studied. Kuhn-Tucker type sufficient optimality conditions are obtained for a feasible solution to be an efficient or properly efficient solution. Mond-Weir type and Mond-Zhang type duality results are obtained under the aforesaid assumptions.

引用

页码：681 / 695

页数：15

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