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Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems

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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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  1. Department of Mathematics, University of Nigeria, Nsukka, Nigeria

    Yekini Shehu

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  1. Yekini Shehu
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Correspondence to Yekini Shehu.

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Shehu, Y. Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems. J Glob Optim 56, 1675–1688 (2013). https://doi.org/10.1007/s10898-012-9954-8

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  • DOI: https://doi.org/10.1007/s10898-012-9954-8

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