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Ishikawa iterative algorithms for a generalized equilibrium problem and fixed point problems of a pseudo-contraction mapping

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Abstract

In this paper, we propose two Ishikawa iterative algorithms for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a Lipschitz continuous pseudo-contraction mapping. We obtain both strong convergence theorems and weak convergence theorems in a Hilbert space.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Chongqing Normal University, 400047, Chongqing, People’s Republic of China

    Jian-Wen Peng

  2. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 804, Taiwan, ROC

    Jen-Chih Yao

Authors
  1. Jian-Wen Peng
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  2. Jen-Chih Yao
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Corresponding author

Correspondence to Jian-Wen Peng.

Additional information

The first author was supported by the Grant No. 10831009, Grant No. 10771228, Grant No. 206123, and the Grant No. KJ070816. The second author was partially supported by the grant NSC96-2628-E-110-014-MY3.

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Peng, JW., Yao, JC. Ishikawa iterative algorithms for a generalized equilibrium problem and fixed point problems of a pseudo-contraction mapping. J Glob Optim 46, 331–345 (2010). https://doi.org/10.1007/s10898-009-9428-9

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  • DOI: https://doi.org/10.1007/s10898-009-9428-9

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