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A Journal of Mathematical Programming and Operations Research
Volume 63, 2014 - Issue 5
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Articles

Algorithms for solving generalized equilibrium problems and fixed points of nonexpansive semigroups in Hilbert spaces

Suthep Suantai Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang, Mai, 50200, Thailand; Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd, Bangkok, 10400, Thailand
&
Prasit Cholamjiak Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd, Bangkok, 10400, Thailand; School of Science, University of Phayao, Phayao, 56000, ThailandCorrespondence[email protected]
Pages 799-815 | Received 24 Jan 2012, Accepted 04 Apr 2012, Published online: 16 May 2012
 
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Abstract

In this article, strong convergence theorems by the modified viscosity approximation method associated with Meir–Keeler contractions are proved for solving fixed point problems of a nonexpansive semigroup and generalized equilibrium problems in a Hilbert space.

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Acknowledgements

The authors wish to thank the Thailand Research Fund, and the Centre of Excellence in Mathematics, the Commission on Higher Education, Thailand.

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