Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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THE SHRINKING PROJECTION METHODS FOR HEMI-RELATIVELY NONEXPANSIVE MAPPINGS, VARIATIONAL INEQUALITIES AND EQUILIBRIUM PROBLEMS

  • Wang, Zi-Ming (Department of Foundation Shandong Yingcai University) ;
  • Kang, Mi Kwang (Department of Mathematics Dongeui University) ;
  • Cho, Yeol Je (Department of Mathematics Education and the RINS Gyeongsang National University)
  • Received : 2012.02.14
  • Published : 2013.01.31
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Abstract

In this paper, we introduce the shrinking projection method for hemi-relatively nonexpansive mappings to find a common solution of variational inequality problems and equilibrium problems in uniformly convex and uniformly smooth Banach spaces and prove some strong convergence theorems to the common solution by using the proposed method.

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References

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