ON THE SOLUTION OF EQUATIONS WITH NONDIFFERENTIABLE OPERATORS

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Published: Sep 1, 1993
DOI: https://doi.org/10.5556/j.tkjm.24.1993.4495
Keywords:
Banach space Newton's method Banach's closed graph theorem

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IOANNIS K. ARGYROS
Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, U. S. A.

Abstract




We approximate solutions_of equations with nondifferentiable operators using the Newton-Kantorovich method and the majorant the­ ory. Under some as easy to verify assumptions as the ones given by Zabrejko and Nguen in [9] we improve their error estimates.




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How to Cite
ARGYROS, I. K. (1993). ON THE SOLUTION OF EQUATIONS WITH NONDIFFERENTIABLE OPERATORS. Tamkang Journal of Mathematics, 24(3), 237–249. https://doi.org/10.5556/j.tkjm.24.1993.4495
Issue
Vol. 24 No. 3 (1993)
Section
Papers
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References

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