Parallel iterative methods for a finite family of sequences of nearly nonexpansive mappings in Hilbert spaces
Journal Article
·
· Computational and Applied Mathematics
- Thainguyen University of Sciences, Department of Mathematics and Informatics (Viet Nam)
In this paper, we propose some new parallel iterative methods by the hybrid and shrinking projection to find a common fixed point of a finite family of sequences of nearly nonexpansive mappings in Hilbert spaces when the domain C satisfies diam(C) < ∞. We also give some applications of our main results for the problem of finding a common fixed point of nonexpansive mappings, nonexpansive semi-groups, the problem of finding a common zero point of monotone operators, the system of generalized mixed equilibrium problems and the system of variational inequalities without the condition diam(C) < ∞. Three numerical examples also are given to illustrate the effectiveness of the proposed algorithms.
- OSTI ID:
- 22783801
- Journal Information:
- Computational and Applied Mathematics, Journal Name: Computational and Applied Mathematics Journal Issue: 3 Vol. 37; ISSN 0101-8205
- Country of Publication:
- United States
- Language:
- English
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