Convergence of inertial hybrid splitting algorithms
DOI:
https://doi.org/10.15407/dopovidi2018.12.030Keywords:
Hilbert space, hybrid algorithm, inertial method, maximal monotone operator, operator inclusion problem, strong convergence, Tseng algorithmAbstract
Two new algorithms for solving the operator inclusion problems with maximal monotone operators acting in a Hilbert space are proposed. Algorithms are based on the inertial extrapolation and three well-known methods: Tseng forward-backward splitting algorithm and two hybrid algorithms for the approximation of fixed points of nonexpansive operators. Theorems on the strong convergence of the sequences generated by the algorithms are proved.
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