Existence Theorems for Variational Inequalities in Banach Spaces

L. C. Zeng and J. C. Yao ()
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L. C. Zeng: Shanghai Normal University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2007, vol. 132, issue 2, No 6, 337 pages

Abstract: Abstract In this paper, by employing the notion of generalized projection operators and the well-known Fan’s lemma, we establish some existence results for the variational inequality problem and the quasivariational inequality problem in reflexive, strictly convex, and smooth Banach spaces. We propose also an iterative method for approximate solutions of the variational inequality problem and we establish some convergence results for this iterative method.

Keywords: Variational inequalities; generalized projection operators; KKM theorem; fixed points; Banach spaces (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-006-9139-z

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