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| In this paper,by employing the image space analysis to investigate the constrained vector variational inequality.Firstly,By virtue of the oriented distance function,a new nonlinear regular weak separation function is introduced.By mean of the nonlinear regular weak separation function,a gap function for the constrained vector variational inequality is obtained.Then,as an application of gap functions,error bounds for the constrained vector variational inequalities are dervied.Morever,these bounds offer valid estimated distances between a feasible point and the solution set of the constrained vector variational inequalities. |
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| Keywords:constrained vector variational inequalities;nonlinear regular weak separation function;gap functions;error bounds;image space analysis |
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