scholarly journals Existence of solutions of bilevel strong vector equilibrium problems and their applications

2009 ◽  
Vol 2009 ◽  
pp. 1-10
Author(s):  
Jian-Wen Peng ◽  
Lun Wan

We introduce a new system of generalized vector quasiequilibrium problems which includes system of vector quasiequilibrium problems, system of vector equilibrium problems, and vector equilibrium problems, and so forth in literature as special cases. We prove the existence of solutions for this system of generalized vector quasi-equilibrium problems. Consequently, we derive some existence results of a solution for the system of generalized quasi-equilibrium problems and the generalized Debreu-type equilibrium problem for both vector-valued functions and scalar-valued functions.


2012 ◽  
Vol 16 (1) ◽  
pp. 165-178 ◽  
Author(s):  
Q. H. Ansari ◽  
A. P. Farajzadeh ◽  
S. Schaible

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