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J. Math. Anal. Appl. 277 (2003) 246256 www.elsevier.com/locate/jmaa

Summary: J. Math. Anal. Appl. 277 (2003) 246­256
Generalized vector quasi-equilibrium problems
with applications
Qamrul Hasan Ansari a,1
and Fabián Flores-Bazán b,,2
a Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India
b G.I2.M.A., Departamento de Ingeniería Matemática, Universidad de Concepción,
Casilla 160-C, Concepción, Chile
Received 15 June 2001
Submitted by R.M. Aron
In this paper, we consider the generalized vector quasi-equilibrium problem with or without
involving -condensing maps and prove the existence of its solution by using known fixed point
and maximal element theorems. As applications of our results, we derive some existence results
for a solution to the vector quasi-optimization problem for nondifferentiable functions and vector
quasi-saddle point problem.
2002 Elsevier Science (USA). All rights reserved.
Keywords: Generalized vector quasi-equilibrium problem; Vector quasi-optimization problem; Regular
C-quasi-saddle point; -condensing maps; Subdifferential


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


Collections: Mathematics