Existence and Duality of Generalized Vector Equilibrium Problems

In this paper, we propose some dual formulations of generalized vector equilibrium problems. By using such dual formulations, we prove the existence of a solution to the generalized vector equilibrium problem under generalized pseudomonotonicity conditions. The results of this paper extend and gener...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2001-07, Vol.259 (1), p.115-126
Main Authors: Ansari, Qamrul Hasan, Siddiqi, Abul Hasan, Wu, Soon Yi
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Cx-quasiconvexity
duality
Exact sciences and technology
explicitly δ(Cx)-quasiconvexity
generalized vector equilibrium problems
Mathematical analysis
Mathematics
maximal pseudomonotonicity
Real functions
Sciences and techniques of general use
u-hemicontinuity
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Summary:In this paper, we propose some dual formulations of generalized vector equilibrium problems. By using such dual formulations, we prove the existence of a solution to the generalized vector equilibrium problem under generalized pseudomonotonicity conditions. The results of this paper extend and generalize the results of I.V. Konnov and S. Schaible (2000, J. Optim. Theory Appl., 104, 395–408).
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.2000.7397