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Strong convergence of an iterative method for variational inequality problems and fixed point problems

Xiao Long Qin, Shin Min Kang, Yong Fu Su, Mei Juan Shang (2009)

Archivum Mathematicum

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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