Weak Convergence Theorems on the Split Common Fixed Point Problem for Demicontractive Continuous Mappings

Huanhuan Cui, Lu-Chuan Ceng, Fenghui Wang · Journal of Function Spaces · 2018

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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