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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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, H. A. 1982 Multivatiate divided differences and multivariate interpolation of Lagrange and Hermite type J. Approx. Theory 34 286 – 305 10

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Review of Sociology
Authors: György Lengyel, László Lőrincz, Viktória Siklós, and Dániel Füleki

23 701 718 Hargittai, E. (2002): Second-Level Digital Divide: Differences in People's Online Skills. First Monday , 7 (4), www

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, E. ( 2002 ): Second-Level Digital Divide: Differences in People’s Online Skills . First Monday 7(4). Ivanovic , B. ( 1973 ): A Method of Establishing a List of Development Indicators . Paris: UNESCO. Jeremic , V. – Bulajic , M. – Martic

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