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Article

Qin, Xiaolong ; Kang, Shin Min ; Su, Yongfu ; Shang, Meijuan
Strong convergence of an iterative method for variational inequality problems and fixed point problems. (English). Archivum Mathematicum, vol. 45 (2009), issue 2, pp. 147-158
MSC: 47H09, 47H10, 47J20, 47J25 | MR 2591671 | Zbl 1210.47097
Keywords:
nonexpansive mapping; strict pseudocontraction; fixed point; variational inequality; relaxed cocoercive mapping
Summary:
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.
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