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Z .Journal of Mathematical Analysis and Applications 259, 115 126 2001 doi:10.1006rjmaa.2000.7397, available online at http:rrwww.idealibrary.com on
 

Summary: Z .Journal of Mathematical Analysis and Applications 259, 115 126 2001
doi:10.1006rjmaa.2000.7397, available online at http:rrwww.idealibrary.com on
Existence and Duality of Generalized Vector
Equilibrium Problems1
Qamrul Hasan Ansari and Abul Hasan Siddiqi2
Department of Mathematics, Aligarh Muslim Unišersity, Aligarh 202 002, India
and
Soon Yi Wu
Department of Mathematics, National Cheng-Kung Unišersity,
Tainan, Taiwan, Republic of China
Submitted by K. Mizukami
Received May 9, 2000
In this paper, we propose some dual formulations of generalized vector equilib-
rium problems. By using such dual formulations, we prove the existence of a
solution to the generalized vector equilibrium problem under generalized pseu-
domonotonicity conditions. The results of this paper extend and generalize the
Z .results of I.V. Konnov and S. Schaible 2000, J. Optim. Theory Appl., 104, 395 408 .
2001 Academic Press
Key Words: generalized vector equilibrium problems; duality; C -quasiconvexity;x
Z .explicitly C -quasiconvexity; u-hemicontinuity; maximal pseudomonotonicity.x

  

Source: Ansari, Qamrul Hasan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

 

Collections: Mathematics