Convergence of general composite iterative method for infinite family of nonexpansive mappings in Hilbert spaces

Darvish, Vahid; Silvestru Dragomir, Sever

Convergence of general composite iterative method for infinite family of nonexpansive mappings in Hilbert spaces

Contributors

Authors

¹ Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413, Tehran, Iran.

² Mathematics, School of Engineering and Science Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia

Abstract

In this paper by using W_n -mapping, we introduce a composite iterative method for finding a common
fixed 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 rights
reserved.

Keywords

References

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Communications in Nonlinear Analysis