On the embedding of variational inequalities

Rouhani, B.; Khan, A.

doi:10.1090/S0002-9939-03-07000-X

On the embedding of variational inequalities
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by B. Djafari Rouhani and A. A. Khan PDF

Proc. Amer. Math. Soc. 131 (2003), 3861-3871 Request permission

Abstract:

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.

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