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

Xiao Qin, Shin Min Kang, Yong Fu Su, Meijuan Shang · Czech digital mathematics library · 2009

Abstract. 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. 1. Introduction and

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