Igor V. Konnov
	Key words:
forward-backward splitting method, system of equilibrium problems, nonsmooth bifunctions
		Mathematices Subject Classification: 65K10, 49M29, 49J20, 90C47

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	Abstract:
We consider a system of equilibrium problems with nonsmooth cost bifunctions in Hilbert spaces, which can be regarded as an extension of primal-dual systems of equilibrium problems. We show that this problem can be solved by the inexact forward-backward splitting method applied to the dual problem and prove its convergence in primal and dual variables.

An inexact splitting method for systems of equilibrium problems

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Volume 1, Number 3, September 2005, pp. 611-624