2013•arXiv (Cornell University)Open access
Convergence of general composite iterative method for infinite family of nonexpansive mappings in Hilbert spaces
Vahid Darvish, S. M. Vaezpour
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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 simulation examples are presented. Our results improve and extend the previous results.
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