Generalized connected functions with respect to cones

Authors
Suneja, SK Aggarwal, S Davar, S
Citation
Sk. Suneja et al., Generalized connected functions with respect to cones, J OPTIM TH, 106(2), 2000, pp. 399-410
Citations number
12
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
106
Issue
2
Year of publication
2000
Pages
399 - 410
Database
ISI
SICI code
0022-3239(200008)106:2<399:GCFWRT>2.0.ZU;2-E
Abstract
In this paper, generalized connected functions with respect to cones such a s quasi cone-connected, pseudo cone-connected, strongly pseudo cone-connect ed, and strictly pseudo cone-connected functions are introduced; necessary and sufficient optimality conditions are obtained for a weak minimum, a min imum, and a strong minimum of a vector-valued minimization problem. A Mond- Weir type dual is associated, and weak and strong duality results are estab lished.