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Zhang, Cuijie; He, Songnian

Strong convergence theorems for the split common fixed point problem for countable family of nonexpansive operators. (English) Zbl 1325.47137

J. Appl. Math. 2012, Article ID 438121, 11 p. (2012).
Summary: We introduce a new iterative algorithm for solving the split common fixed point problem for countable family of nonexpansive operators. Under suitable assumptions, we prove that the iterative algorithm strongly converges to a solution of the problem.

Cited in 1 Document

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Keywords:

split common fixed point problem; strong convergence
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\textit{C. Zhang} and \textit{S. He}, J. Appl. Math. 2012, Article ID 438121, 11 p. (2012; Zbl 1325.47137)
Full Text: DOI

References:

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