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Convergence Properties of Projection and Contraction Methods for Variational Inequality Problems

✍ Scribed by N. Xiu; C. Wang; J. Zhang

Publisher
Springer
Year
2001
Tongue
English
Weight
140 KB
Volume
43
Category
Article
ISSN
0095-4616

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πŸ“œ SIMILAR VOLUMES

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This paper presents a new class of projection and contraction methods for solving monotone variational inequality problems. The methods can be viewed as combinations of some existing projection and contraction methods and the method of shortest residuals, a special case of conjugate gradient methods

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## Abstract In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an __Ξ±__ ‐inverse strongly monotone mapping in a Hilbert space. We show that the sequence converge