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

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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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Manuscript received: September 2000/Final version received: March 2001

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Yu, M., Wang, SY., Fu, WT. et al. On the existence and connectedness of solution sets of vector variational inequalities. Mathematical Methods of OR 54, 201–215 (2001). https://doi.org/10.1007/s001860100147

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  • DOI: https://doi.org/10.1007/s001860100147