Semenov V.V.
Inertial hybrid splitting methods for operator inclusion problems

In this paper, new algorithms are proposed to solve operator inclusion problems with maximal monotone operators acting in a Hilbert space. The algorithms are based on inertial extrapolation and three well-known methods: Tseng forward-backward splitting and two hybrid algorithms for approximation of fixed points of nonexpansive operators. Theorems about strong convergence of the sequences generated by the algorithms are proved. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: Hilbert space, hybrid algorithm, inertial method, maximal monotone operator, operator inclusion, strong convergence, Tseng algorithm, Hilbert spaces, Vector spaces, Forward-backward splitting, Hybrid algorithms, Inclusion problem, Inertial method, Maximal monotone operators, Nonexpansive, Splitting method, Strong convergence, Approximation algorithms

Cite:
Semenov V.V. (2018). Inertial hybrid splitting methods for operator inclusion problems. Cybernetics and Systems Analysis, 54 (6), 96-104. doi: https://doi.org/10.1007/s10559-018-0096-y http://jnas.nbuv.gov.ua/article/UJRN-0000926956 [In Russian].