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 Uni¨ersity, Aligarh 202 002, India
and
Soon Yi Wu
Department of Mathematics, National Cheng-Kung Uni¨ersity,
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