Weak convergence theorems on the split common fixed point problem for demicontractive continuous mappings (Q1640328)

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scientific article; zbMATH DE number 6888536
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Weak convergence theorems on the split common fixed point problem for demicontractive continuous mappings
scientific article; zbMATH DE number 6888536

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    Weak convergence theorems on the split common fixed point problem for demicontractive continuous mappings (English)
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    14 June 2018
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    Summary: We are concerned with the split common fixed point problem in Hilbert spaces. We propose a new method for solving this problem and establish a weak convergence theorem whenever the involved mappings are demicontractive and Lipschitz continuous. As an application, we also obtain a new method for solving the split equality problem in Hilbert spaces.
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    split common fixed point problem
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    weak convergence
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    demicontractive mapping
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    split equality problem
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    Hilbert spaces
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