Multiobjective programming under generalized type I invexity

Authors
Hanson, MA Pini, R Singh, C
Citation
Ma. Hanson et al., Multiobjective programming under generalized type I invexity, J MATH ANAL, 261(2), 2001, pp. 562-577
Citations number
27
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
261
Issue
2
Year of publication
2001
Pages
562 - 577
Database
ISI
SICI code
0022-247X(20010915)261:2<562:MPUGTI>2.0.ZU;2-G
Abstract
In this paper we extend a (scalarized) generalized type-I invexity into a v ector invexity (V-type I). A number of sufficiency results are established using Lagrange multiplier conditions and under various types of generalized V-type I requirements. Weak, strong, and converse duality theorems are pro ved in the generalized V-invexity type I setting. (C) 2001 Academic Press.