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Convergence analysis for variational inequality problems and fixed point problems in 2-uniformly smooth and uniformly convex Banach spaces

✍ Scribed by Gang Cai; Shangquan Bu


Book ID
113796586
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
232 KB
Volume
55
Category
Article
ISSN
0895-7177

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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