On the embedding of variational inequalities

Document Type

Conference Proceeding

Publication Date

12-1-2003

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.

Publication Title

Proceedings of the American Mathematical Society

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