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Hybrid extragradient method for general equilibrium problems and fixed point problems in Hilbert space

โœ Scribed by Issara Inchan

Publisher
Elsevier
Year
2011
Tongue
English
Weight
250 KB
Volume
5
Category
Article
ISSN
1751-570X

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โœฆ Synopsis

In this paper, we introduce an iterative scheme by the hybrid methods for finding a common element of the set of fixed points of nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of a variational inequality problem in a Hilbert space. Then, we prove the strongly convergent theorem by a hybrid extragradient method to the common element of the set of fixed points of nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of a variational inequality problem. Our results extend and improve the results of Bnouhachem et al.

[A. Bnouhachem, M. Aslam Noor, Z. Hao, Some new extragradient iterative methods for variational inequalities, Nonlinear Analysis (2008)

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