A new projection and convergence theorems for the projections in Banach spaces

@article{Ibaraki2007ANP,
  title={A new projection and convergence theorems for the projections in Banach spaces},
  author={Takanori Ibaraki and Wataru Takahashi},
  journal={Journal of Approximation Theory},
  year={2007},
  volume={149},
  pages={1-14}
}
In this paper, we introduce a new projection in a Banach space and show an example of the projections. Then, we study the Mosco convergence of a sequence of nonempty sets concerning the projections in a Banach space. 

Topics from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 24 CITATIONS

Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces

  • Applied Mathematics and Computation
  • 2011
VIEW 7 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

References

Publications referenced by this paper.
SHOWING 1-10 OF 23 REFERENCES

Strong convergence of sunny nonexpansive retractions in Banach spaces, PanAmer

Y. Kimura, W. Takahashi
  • Math. J
  • 1999
VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

Existence and approximation of solutions of nonlinear variational inequalities.

  • Proceedings of the National Academy of Sciences of the United States of America
  • 1966
VIEW 2 EXCERPTS
HIGHLY INFLUENTIAL

Convergence theorems for a new projections in Banach spaces (in Japanese)

T. Ibaraki, W. Takahashi
  • RIMS Kokyuroku,
  • 2006
VIEW 1 EXCERPT