ON THE CONVERGENCE OF SOME PROJECTION METHODS AND INEXACT NEWTON-LIKE ITERATIONS

Authors

  • IOANNIS K. ARGYROS Cameron University, Department of Mathematics, Lawton, OK 73505-6377, U. S. A.

DOI:

https://doi.org/10.5556/j.tkjm.25.1994.4462

Keywords:

Banach space, Newton-like method

Abstract

We provide a general theorem for the convergence of some projection methods for inexact Newton-like iterations under Yamamoto-type assumptions. Our results extend and improve several situations already appeared in the literature.

References

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P. P. Zabrejko, and D. F. Nguen, "The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates," Numer. Funct. Anal. and Optimiz., 9, (1987), 671- 684 .

T. Yamamoto, "A note on a posterior error bound of Zabrejko and Nguen for Zincenko's iteration," Numer. Funct. Anal. and Optimiz., 9, (1987), 987-994.

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Published

1994-12-01

How to Cite

ARGYROS, I. K. (1994). ON THE CONVERGENCE OF SOME PROJECTION METHODS AND INEXACT NEWTON-LIKE ITERATIONS. Tamkang Journal of Mathematics, 25(4), 335–341. https://doi.org/10.5556/j.tkjm.25.1994.4462

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