Journal
NUMERICAL ALGORITHMS
Volume 75, Issue 4, Pages 1065-1078Publisher
SPRINGER
DOI: 10.1007/s11075-016-0230-8
Keywords
Split common null point problem; Maximal monotone operator; Fixed point; Generalized projection; Generalized resolvent; Hybrid method; Duality mapping
Categories
Funding
- Japan Society for the Promotion of Science [15K04906]
- Grants-in-Aid for Scientific Research [15K04906] Funding Source: KAKEN
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In this paper, we consider the split common null point problem in two Banach spaces. Then, using the generalized resolvents of maximal monotone operators and the generalized projections, we prove a strong convergence theorem for finding a solution of the split common null point problem in two Banach spaces. It seems that such a theorem for generalized resolvents is the first of its kind outside Hilbert spaces.
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