On the equivalence of extended generalized complementarity and generalizedleast-element problems

Authors
Ansari, QH Lai, TC Yao, JC
Citation
Qh. Ansari et al., On the equivalence of extended generalized complementarity and generalizedleast-element problems, J OPTIM TH, 102(2), 1999, pp. 277-288
Citations number
12
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN journal
00223239 → ACNP
Volume
102
Issue
2
Year of publication
1999
Pages
277 - 288
Database
ISI
SICI code
0022-3239(199908)102:2<277:OTEOEG>2.0.ZU;2-3
Abstract
In this paper, we derive some equivalences of generalized nonlinear program s, generalized least-element problems, and extended generalized complementa rity problems under certain regularity and growth conditions. We also gener alize the notion of a Z-map for point-to-set maps. Our results extend recen t results by Schaible and Yao (Ref. 1).