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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 3, Pages 553-563
doi:10.1155/S0161171281000409

Semilocal analysis of equations with smooth operators

George J. Miel

Department of Mathematical Sciences, University of Nevada, Las Vegas 89154, Nevada, USA

Abstract

Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton's method, with new error bounds, is presented. Related topics are briefly surveyed.