OICC Press Communications in Nonlinear Analysis 2371-7920 1 1 2025 11 09 Convergence of general composite iterative method for infinite family of nonexpansive mappings in Hilbert spaces EN Vahid Darvish Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413, Tehran, Iran. Sever Silvestru Dragomir Mathematics, School of Engineering and Science Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia Journal Article 2025 11 09 In this paper by using W_n -mapping, we introduce a composite iterative method for finding a commonfixed point for infinite family of nonexpansive mappings and a solution of a certain variational inequality.Furthermore, the strong convergence of the proposed iterative method is established. Finally, some sim-ulation examples are presented. Our results improve and extend the previous results. c ⃝2016 All rightsreserved.