Cho, Yeol Je; Qin, Xiaolong; Kang, Shin Min Some results for equilibrium problems and fixed point problems in Hilbert spaces. (English) Zbl 1223.47075 J. Comput. Anal. Appl. 11, No. 2, 294-316 (2009). The purpose of this paper is to study the strong convergence of a general iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variational inequality for a relaxed cocoercive mapping and the set of solutions of an equilibrium problem. Cited in 1 ReviewCited in 3 Documents MSC: 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47H10 Fixed-point theorems Keywords:nonexpansive mapping; viscosity approximation method; equilibrium problem; fixed point PDFBibTeX XMLCite \textit{Y. J. Cho} et al., J. Comput. Anal. Appl. 11, No. 2, 294--316 (2009; Zbl 1223.47075)