On existence and essential components for solution set for system of strong vector quasi‐equilibrium problems

On existence and essential components for solution set for system of strong vector quasi‐equilibrium problems

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Article ID: iaor20131203
Volume: 55
Issue: 2
Start Page Number: 253
End Page Number: 259
Publication Date: Feb 2013
Journal: Journal of Global Optimization
Authors: ,
Keywords: duality, Programming (cone)
Abstract:

In this paper, we study the system of strong vector quasi‐equilibrium problems without assuming that the dual of the ordering cone has a weak* compact base. We show the existence and essential components of solution set for system of strong vector quasi‐equilibrium problems by defining the best‐reply mapping.

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