Author： Yao Yonghong
Publisher： Taylor & Francis Ltd
ISSN： 0233-1934
Source： Optimization, Vol.60, Iss.3, 2011-01, pp. : 395-412
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Abstract
In this article, we present a new iterative method based on the relaxed hybrid method and the extragradient method for finding a common element of the set of solutions of generalized equilibrium problems and the set of fixed points of a strictly pseudocontractive mapping and the set of a general system of variational inequality with inverse strongly monotone mappings in a real Hilbert space. Furthermore, we prove that the proposed iterative method has strong convergence under some mild conditions imposed on algorithm parameters.
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