A viscosity approximation scheme for system of equilibrium problems, nonexpansive mappings and monotone mappings |
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| Authors: | Jian-Wen Peng |
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| Institution: | a College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, PR China
b Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan, ROC |
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| Abstract: | In this paper, we introduce a new viscosity approximation scheme based on the extragradient method for finding a common element of the set of solutions to a system of equilibrium problems, the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions to the variational inequality for a monotone, Lipschitz continuous mapping. Several convergence results for the sequences generated by these processes in Hilbert spaces were derived. |
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| Keywords: | System of equilibrium problems Extragradient methods Nonexpansive mapping Monotone mapping Viscosity approximation scheme Strong convergence |
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