East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A HYBRID ITERATIVE METHOD OF SOLUTION FOR MIXED EQUILIBRIUM AND OPTIMIZATION PROBLEMS

  • Zhang, Lijuan (COLLEGE OF MATHEMATICS AND COMPUTER HEBEI UNIVERSITY) ;
  • Chen, Jun-Min (COLLEGE OF MATHEMATICS AND COMPUTER HEBEI UNIVERSITY)
  • Received : 2009.05.14
  • Accepted : 2010.01.04
  • Published : 2010.01.31
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Abstract

In this paper, we introduce a hybrid iterative method for finding a common element of the set of solutions of a mixed equilibrium problem, the set of common mixed points of finitely many nonexpansive mappings and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. We show that the iterative sequences converge strongly to a common element of the three sets. The results extended and improved the corresponding results of L.-C.Ceng and J.-C.Yao.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, Natural Science Foundation of Hebei Province, Department of Education of Hebei Province

References

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