An extragradient-type method for generalized equilibrium problems involving strictly pseudocontractive mappings |
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Authors: | Xiaolong Qin Sun Young Cho Shin Min Kang |
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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 |
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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. |
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Keywords: | |
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