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Cybernetics And Systems Analysis
International Theoretical Science Journal
Volume 56 >>> № 5 SEPTEMBER — OCTOBER 2020
UDC 517.988
Ya.I. Vedel1, G.V. Sandrakov2, V.V. Semenov3, L.M. Chabak4


1 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

 yana.vedel@gmail.com

2 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

 sandrako@mail.ru

3 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

 semenov.volodya@gmail.com

4 State University of Infrastructure and Technology, Kyiv, Ukraine

 chabaklm@ukr.net

CONVERGENCE OF A TWO-STAGE PROXIMAL ALGORITHM
FOR EQUILIBRIUM PROBLEMS IN HADAMARD SPACES

Abstract. An iterative two-stage proximal algorithm for the approximate solution of equilibrium problems in Hadamard spaces is proposed. This algorithm is an analog of the previously studied two-stage algorithm for equilibrium problems in Hilbert space. For Lipschitz-type pseudo-monotone bifunctions, a theorem on the weak convergence of sequences generated by the algorithm is proved.

Keywords: Hadamard space, equilibrium problem, pseudo-monotonicity, two-stage algorithm, convergence.



FULL TEXT

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