An iterative method for an infinite family of nonexpansive mappings in Hilbert spaces.

Qin, Xiaolong; Cho, Yeol Je; Kang, Shin Min

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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.