Abstract
In this paper, we introduce a new class of multidimensional bilevel controlled variational inequality problems (BVIP) and analyse their LP well-posedness and LP well-posedness in generalized sense by using the monotonicity and hemicontinuity of the involved functionals. We also derive a sufficient condition for the generalized LP well-posedness by considering the nonemptiness and boundedness of the approximating solution set. After that, we show the generalized LP wellposedness with the help of the upper semicontinuity of the approximating solution set of the problem (BVIP). Additionally, some examples are constructed to demonstrate the theoretical results.
Published Version
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