Saddle-Point Type Optimality Criteria for Optimization Problem over Cones

被引：0
|
作者：
S. K. Suneja
Seema Khurana
机构：
[1] University of Delhi,Department of Mathematics, Miranda House
[2] University of Delhi,Department of Mathematics, Daulat Ram College
来源：
OPSEARCH | 2003年 / 40卷 / 2期
关键词：
Cones; Optimization; Arcwise Connected; Arcwise Cone-Connected; Saddle Point Optimality;
D O I：
10.1007/BF03398686
中图分类号：
学科分类号：
摘要：
In this paper, concept of arcwise cone-connected mappings, *-arcwise semi differentiability, *-pseudo cone-connected mappings and *-quasi cone-connected mappings are introduced in infinite dimensional spaces. Fritz John and Kuhn-Tucker type necessary and sufficient conditions are given for a weak minimum and a minimum of the optimization problem over cones. These conditions are then used to study saddle point optimality criteria in terms of a Lagrangian function.
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页码：81 / 96
页数：15
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