Existence of Solutions and Algorithms for Bilevel Vector Equilibrium Problems: An Auxiliary Principle Technique

2017 ◽  
Vol 172 (3) ◽  
pp. 726-758 ◽  
Author(s):  
Ouayl Chadli ◽  
Qamrul Hasan Ansari ◽  
Suliman Al-Homidan
Keyword(s):  
Equilibrium Problems ◽  
Existence Of Solutions ◽  
Vector Equilibrium Problems ◽  
Auxiliary Principle ◽  
Auxiliary Principle Technique ◽  
Vector Equilibrium

scholarly journals On System of Generalized Vector Quasiequilibrium Problems with Applications

2009 ◽  
Vol 2009 ◽  
pp. 1-10
Author(s):  
Jian-Wen Peng ◽  
Lun Wan
Keyword(s):  
Equilibrium Problems ◽  
Existence Of Solutions ◽  
Quasi Equilibrium ◽  
Vector Equilibrium Problems ◽  
Quasiequilibrium Problems ◽  
Special Cases ◽  
Vector Equilibrium ◽  
Vector Quasiequilibrium Problems ◽  
Vector Valued Functions ◽  
Vector Valued

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.

scholarly journals EXISTENCE OF SOLUTIONS OF STRONG VECTOR EQUILIBRIUM PROBLEMS

2012 ◽  
Vol 16 (1) ◽  
pp. 165-178 ◽  
Author(s):  
Q. H. Ansari ◽  
A. P. Farajzadeh ◽  
S. Schaible
Keyword(s):  
Equilibrium Problems ◽  
Existence Of Solutions ◽  
Vector Equilibrium Problems ◽  
Vector Equilibrium
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