Open AccessOn the embedding of variational inequalities
Author(s) -
Behzad Djafari Rouhani,
Akhtar A. Khan
Publication year - 2003
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-03-07000-x
Subject(s) - variational inequality , banach space , mathematics , embedding , monotone polygon , pseudo monotone operator , pure mathematics , inequality , convergence (economics) , mathematical analysis , finite rank operator , computer science , operator space , geometry , artificial intelligence , economics , economic growth
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.