Existence and duality of generalized vector equilibrium problems

Authors
Ansari, QH Siddiqi, AH Wu, SY
Citation
Qh. Ansari et al., Existence and duality of generalized vector equilibrium problems, J MATH ANAL, 259(1), 2001, pp. 115-126
Citations number
25
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
259
Issue
1
Year of publication
2001
Pages
115 - 126
Database
ISI
SICI code
0022-247X(20010701)259:1<115:EADOGV>2.0.ZU;2-K
Abstract
In this paper, we propose some dual formulations of generalized vector equi librium problems. By using such dual formulations, we prove the existence o f a solution to the generalized vector equilibrium problem under generalize d pseudomonotonicity conditions. The results of this paper extend and gener alize the results of I.V. Konnov and S. Schaible (2000, J. Optim, Theory Ap pl.. 104, 395-408). (C) 2001 Academic Press.