On sufficient conditions for the convergence of successive approximations |
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| Authors: | I. A. Soldatenkov |
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| Affiliation: | (1) Institute for Problems in Mechanics, Russian Academy of Sciences, USSR |
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| Abstract: | We obtain sufficient conditions for the convergence of successive approximations to the solution of operator equations. We show how these conditions can be used in the case of nonlinear integral Hammerstein-type equations. Translated fromMatematicheskie Zametki, Vol. 65, No. 6, pp. 854–859, June, 1999. |
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| Keywords: | metric space contraction operator successive approximations fixed point principle |
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