Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems

Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems

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Article ID: iaor20134167
Volume: 56
Issue: 4
Start Page Number: 1675
End Page Number: 1688
Publication Date: Aug 2013
Journal: Journal of Global Optimization
Authors:
Keywords: iterative methods, global convergence, Hilbert space
Abstract:

Our purpose in this paper is to prove strong convergence theorem for finding a common element of the set of common fixed points of a one‐parameter nonexpansive semigroup and the set of solutions to a system of equilibrium problems in a real Hilbert space using a new iterative method. Finally, we give an application of our result in Hilbert spaces.

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