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 Cybernetics and Systems Analysis /  Issue (2020, 56 (5))
Vedel Y.I.,
Sandrakov G.V.,
Semenov V.V.,
Chabak L.M.
Convergence of a two-stage proximal algorithm for equilibrium problems in Hadamard spaces An iterative two-stage proximal algorithm for approximate solution of equilibrium problems in Hadamard spaces is considered. This algorithm is an analog of the already studied two-stage algorithm for equilibrium problems in a Hilbert space. For Lipschitz-type pseudo-monotone bifunctions, a theorem on the weak convergence of sequences generated by the algorithm is proved. © 2020, Springer Science+Business Media, LLC, part of Springer Nature. Keywords: convergence, equilibrium problem, Hadamard space, pseudo-monotonicity, two-stage algorithm, Computer science, Cybernetics, Approximate solution, Bifunctions, Equilibrium problem, Hadamard, Lipschitz, Proximal algorithm, Two-stage algorithm, Weak convergence, Iterative methods
Cite:
Vedel Y.I.,
Sandrakov G.V.,
Semenov V.V.,
Chabak L.M.
(2020). Convergence of a two-stage proximal algorithm for equilibrium problems in Hadamard spaces. Cybernetics and Systems Analysis, 56 (5), 115–125. doi: https://doi.org/10.1007/s10559-020-00299-6 http://jnas.nbuv.gov.ua/article/UJRN-0001152227 [In Russian]. |
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