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An extragradient-type method for generalized equilibrium problems involving strictly pseudocontractive mappings

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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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Authors and Affiliations

  1. Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, China

    Xiaolong Qin

  2. Department of Mathematics, Gyeongsang National University, Jinju, 660-701, Korea

    Sun Young Cho

  3. Department of Mathematics and the RINS, Gyeongsang National University, Jinju, 660-701, Korea

    Shin Min Kang

Authors
  1. Xiaolong Qin
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  2. Sun Young Cho
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  3. Shin Min Kang
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Correspondence to Shin Min Kang.

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Qin, X., Cho, S.Y. & Kang, S.M. An extragradient-type method for generalized equilibrium problems involving strictly pseudocontractive mappings. J Glob Optim 49, 679–693 (2011). https://doi.org/10.1007/s10898-010-9556-2

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  • DOI: https://doi.org/10.1007/s10898-010-9556-2

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