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An extragradient-type method for generalized equilibrium problems involving strictly pseudocontractive mappings
Authors:Xiaolong Qin  Sun Young Cho  Shin Min Kang
Institution:1.Department of Mathematics,Hangzhou Normal University,Hangzhou,China;2.Department of Mathematics,Gyeongsang National University,Jinju,Korea;3.Department of Mathematics and the RINS,Gyeongsang National University,Jinju,Korea
Abstract:In this paper, an extragradient-type method is introduced for finding a common element in the solution set of generalized equilibrium problems, in the solution set of classical variational inequalities and in the fixed point set of strictly pseudocontractive mappings. It is proved that the iterative sequence generated in the purposed extragradient-type iterative process converges weakly to some common element in real Hilbert spaces.
Keywords:
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