Minty and Stampacchia vector variational-like inequality

Gang Xiao · Journal of Anhui University · 2008

Two classes of vector variational-like inequality were investigated.Minty(strong) weak vector variational-like inequality and Stampacchia(strong) weak vector variational-like inequality had the same solution in the case that a matrix-valued function defined on invex set was a continuous invariant pseudomonotone mapping.Particularly,in the case of generalized invariant pseudomonotonicity of a matrix-valued mapping,minty weak vector varation-like inequality and Stampacchia vector variational-like inequality had the same solution.

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