Iterative Einschliessung von Lösungen Nichtlinearer Operatorgleichungen und Bestimmung von Startnäherungen |
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Authors: | R. L. Voller |
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Affiliation: | 1. Mathematisches Institut, Universit?t Düsseldorf, Universit?tsstrasse 1, D-4000, Düsseldorf, Federal Republic of Germany
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Abstract: | In the present paper some Newton-like iteration methods are developed to enclose solutions of nonlinear operator equations of the kindF(x)=0. HereF maps a certain subset of a partially ordered vector space into another partially ordered vector space. The obtained results are proved without any special properties of the orderings by taking use of a new kind of a generalized divided difference operator, so that they even hold for nonconvex operators. Furthermore a method for constructing including starting points is presented and two examples are given. |
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Keywords: | Primary 65J05 |
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