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

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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.
Classification : 47H09, 47H10, 47J20, 47J25
Keywords: nonexpansive mapping; strict pseudocontraction; fixed point; variational inequality; relaxed cocoercive mapping 
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     author = {Qin, Xiaolong and Kang, Shin Min and Su, Yongfu and Shang, Meijuan},
     title = {Strong convergence of an iterative method for variational inequality problems and fixed point problems},
     journal = {Archivum mathematicum},
     pages = {147--158},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {2009},
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     zbl = {1210.47097},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2009__45_2_a7/}
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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/