Existence Theorems for Variational Inequalities in Banach Spaces |
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Authors: | L C Zeng J C Yao |
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Institution: | (1) Department of Mathematics, Shanghai Normal University, Shanghai, China;(2) Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan |
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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.
L. C. Zeng, His research was partially supported by the Teaching and Research Award Fund for Outstanding Young Teachers in
Higher Education Institutions of MOE, China and by the Dawn Program Foundation, Shanghai, China.
J. C. Yao, His research was partially supported by the National Science Council of the Republic of China |
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Keywords: | Variational inequalities generalized projection operators KKM theorem fixed points Banach spaces |
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