Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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STRONG CONVERGENCE OF HYBRID PROJECTION METHODS FOR QUASI-ϕ-NONEXPANSIVE MAPPINGS

  • Kang, Shin Min (Department of Mathematics and RINS Gyeongsang National University) ;
  • Rhee, Jungsoo (Department of Mathematics Pusan University of Foreign Studies) ;
  • Kwun, Young Chel (Department of Mathematics Dong-A University)
  • Received : 2010.09.24
  • Accepted : 2010.11.30
  • Published : 2010.12.30
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Abstract

In this paper, we consider the convergence of the shrinking projection method for quasi-$\phi$-nonexpansive mappings. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which enjoys the Kadec-Klee property.

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References

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