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Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems

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  • Yekini Shehu

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. Copyright Springer Science+Business Media, LLC. 2013

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  • Yekini Shehu, 2013. "Strong convergence theorem for nonexpansive semigroups and systems of equilibrium problems," Journal of Global Optimization, Springer, vol. 56(4), pages 1675-1688, August.
    • Handle: RePEc:spr:jglopt:v:56:y:2013:i:4:p:1675-1688
    DOI: 10.1007/s10898-012-9954-8
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    References listed on IDEAS

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    1. Yekini Shehu, 2012. "Iterative method for fixed point problem, variational inequality and generalized mixed equilibrium problems with applications," Journal of Global Optimization, Springer, vol. 52(1), pages 57-77, January.
    2. F. Cianciaruso & G. Marino & L. Muglia, 2010. "Iterative Methods for Equilibrium and Fixed Point Problems for Nonexpansive Semigroups in Hilbert Spaces," Journal of Optimization Theory and Applications, Springer, vol. 146(2), pages 491-509, August.
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