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Iterative Algorithms for Mixed Equilibrium Problems, Strict Pseudocontractions and Monotone Mappings

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  • J. W. Peng

    (Chongqing Normal University)

Abstract

In this paper, we introduce some iterative algorithms for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a strict pseudocontraction and the set of solutions of a variational inequality for a monotone, Lipschitz continuous mapping. We obtain both weak and strong convergence theorems for the sequences generated by these processes in Hilbert spaces.

Suggested Citation

  • J. W. Peng, 2010. "Iterative Algorithms for Mixed Equilibrium Problems, Strict Pseudocontractions and Monotone Mappings," Journal of Optimization Theory and Applications, Springer, vol. 144(1), pages 107-119, January.
    • Handle: RePEc:spr:joptap:v:144:y:2010:i:1:d:10.1007_s10957-009-9585-5
    DOI: 10.1007/s10957-009-9585-5
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    References listed on IDEAS

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    1. A. Tada & W. Takahashi, 2007. "Weak and Strong Convergence Theorems for a Nonexpansive Mapping and an Equilibrium Problem," Journal of Optimization Theory and Applications, Springer, vol. 133(3), pages 359-370, June.
    2. W. Takahashi & M. Toyoda, 2003. "Weak Convergence Theorems for Nonexpansive Mappings and Monotone Mappings," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 417-428, August.
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