On the image of a constrained extremum problem and some applications to the existence of a minimum
Journal of Optimization Theory and Applications
Gap Functions and Existence of Solutions to Generalized Vector Quasi-Equilibrium Problems
Journal of Global Optimization
Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping
Journal of Global Optimization
On generalized implicit vector equilibrium problems in Banach spaces
Computers & Mathematics with Applications
Vector quasi-equilibrium problems: separation, saddle points and error bounds for the solution set
Journal of Global Optimization
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In this paper, we extend the image space analysis to a vector quasi-equilibrium problem (VQEP) with a variable ordering relation and we analyse scalar and vector saddle point optimality conditions arising from the existence of a vector separation in the image space associated with VQEP.