Geodesic
Strong convergence of an iterative method for variational inequality problems and fixed point problems
Archivum mathematicum, Tome 45 (2009) no. 2, pp. 147-158 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper, we introduce a general iterative scheme to investigate the problem of finding a common element of the fixed point set of a strict pseudocontraction and the solution set of a variational inequality problem for a relaxed cocoercive mapping by viscosity approximate methods. Strong convergence theorems are established in a real Hilbert space.
In this paper, we introduce a general iterative scheme to investigate the problem of finding a common element of the fixed point set of a strict pseudocontraction and the solution set of a variational inequality problem for a relaxed cocoercive mapping by viscosity approximate methods. Strong convergence theorems are established in a real Hilbert space.
Classification : 47H09, 47H10, 47J20, 47J25
Keywords: nonexpansive mapping; strict pseudocontraction; fixed point; variational inequality; relaxed cocoercive mapping 
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Qin, Xiaolong; Kang, Shin Min; Su, Yongfu; Shang, Meijuan. Strong convergence of an iterative method for variational inequality problems and fixed point problems. Archivum mathematicum, Tome 45 (2009) no. 2, pp. 147-158. http://geodesic.mathdoc.fr/item/ARM_2009_45_2_a7/

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