Takahashi, Wataru The split common fixed point problem with families of mappings and strong convergence theorems by hybrid methods in Banach spaces. (English) Zbl 06820448 Nihonkai Math. J. 27, No. 1-2, 67-88 (2016). Summary: In this paper, we consider the split common fixed point problem with families of mappings in Banach spaces. Then using the hybrid method and the shrinking projection method, we prove strong convergence theorems for finding a solution of the split common null point problem with families of mappings in Banach spaces. Cited in 2 Documents MSC: 47J25 Iterative procedures involving nonlinear operators 47H05 Monotone operators and generalizations 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. Keywords:split common null point problem; fixed point; metric resolvent; hybrid method; shrinking projection method; duality mapping; strong convergence PDF BibTeX XML Cite \textit{W. Takahashi}, Nihonkai Math. J. 27, No. 1--2, 67--88 (2016; Zbl 06820448) Full Text: Euclid OpenURL