Journal
FIXED POINT THEORY AND APPLICATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/1687-1812-2014-17
Keywords
viscosity approximation method; quasinonexpansive mapping; fixed point; hybrid steepest descent method
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Funding
- Grants-in-Aid for Scientific Research [21540113, 25800094] Funding Source: KAKEN
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We study the viscosity approximation method due to Moudafi for a fixed point problem of quasinonexpansive mappings in a Hilbert space. First, we establish a strong convergence theorem for a sequence of quasinonexpansive mappings. Then we employ our result to approximate a solution of the variational inequality problem over the common fixed point set of the sequence of quasinonexpansive mappings.
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