On the embedding of variational inequalities
Behzad Djafari Rouhani, Akhtar Ali Khan · Proceedings of the American Mathematical Society · 2003
This work is devoted to the approximation of variational inequalities with pseudo-monotone operators. A variational inequality, considered in an arbitrary real Banach space, is first embedded into a reflexive Banach space by means of linear continuous mappings. Then a strongly convergent approximation procedure is designed by regularizing the embedded variational inequality. Some special cases have also been discussed.