On the existence and connectedness of solution sets of vector variational inequalities

On the existence and connectedness of solution sets of vector variational inequalities

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Article ID: iaor2003749
Country: Germany
Volume: 54
Issue: 2
Start Page Number: 201
End Page Number: 215
Publication Date: Jan 2001
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: , , ,
Abstract:

In this paper, we consider a more general form of weak vector variational inequalities and prove some results on the existence of solutions of our new class of weak vector variational inequalities in the setting of Hausdorff topological vector topological space. We also discuss the connectedness of a solution set to some vector variational inequalities, and obtain a useful sufficient condition.

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