Optimality conditions and duality involving arcwise connected and generalized arcwise connected functions

被引：16

作者：

Bhatia, D ^{[1
]}

Mehra, A

机构：

[1] Univ Delhi, Sgtb Khalsa Coll, Dept Math, Delhi 110007, India

[2] Acharya Narendra Dev Coll, Dept Math, New Delhi, India

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1999年 / 100卷 / 01期

关键词：

arcwise connected sets; arcwise connected functions; Q-connected functions; P-connected functions; directional derivative with respect to an arc;

D O I：

10.1023/A:1021725200423

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：

Some properties of arcwise connected functions in terms of their directional derivatives are investigated. These properties are then utilized to establish necessary and sufficient optimality conditions for scalar-valued nonlinear programming problems. Mond-Weir type duality results are also proved.

引用

页码：181 / 194

页数：14

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