Journal
ARCHIV DER MATHEMATIK
Volume 104, Issue 4, Pages 357-365Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00013-015-0738-5
Keywords
Split common null point problem; Maximal monotone operator; Resolvent; Fixed point; Metric projection; Hybrid method; Duality mapping
Categories
Funding
- Japan Society for the Promotion of Science [23540188]
- Grants-in-Aid for Scientific Research [23540188] Funding Source: KAKEN
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In this paper, we consider the split common null point problem in Banach spaces. Then using the metric resolvents of maximal monotone operators and the metric projections, we prove a strong convergence theorem for finding a solution of the split common null point problem in Banach spaces. The result of this paper seems to be the first one to study it outside Hilbert spaces.
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