A Generalization of a Result for Iterative Functions in ℝn

Béla Finta

doi:10.2478/amset-2019-0016

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A Generalization of a Result for Iterative Functions in ℝn

Acta Marisiensis. Seria Technologica

Volume 16 (2019): Issue 2 (December 2019)

By: Béla Finta

Open Access

|Dec 2019

Abstract

The purpose of this paper is to generalize for real vector-valued functions of a result for real iterative functions and to give some applications for nonlinear system of equations.

References

[1] E. A. Volkov, Numerical Methods, Publishing Company MIR, Moscow, 1986.
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[2] Béla Finta, Curs de analiză numerică, Universitatea “Petru Maior”, Tg. Mures, 2004.
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[3] Béla Finta, The Complex Version of a Result for Real Iterative Functions, Scientific Bulletin of the University of Medicine, Pharmacy, Sciences and Technology of Tirgu Mures, vol. 15(XXXII), no. 2, 2018, pag. 25-27.
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[4] J. Cl. Evard and F. Jafari, A Complex Rolle’s Theorem, Amer. Math. Monthly 99(1992), 858-861.10.1080/00029890.1992.11995942
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[5] Árpád Száz, A Cauchy Mean Value Theorem for Complex Functions, Math. Student 64(1995), 125-127.
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[6] Wikipedia.
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DOI: https://doi.org/10.2478/amset-2019-0016 | Journal eISSN: 2668-4217

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Language: English

Page range: 39 - 41

Published on: Dec 21, 2019

Published by: University of Medicine, Pharmacy, Science and Technology of Targu Mures

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

nonlinear equations,

nonlinear system of equations,

Banach fixed point theorem,

mean value theorem for real vector-valued functions

Related subjects:

Computer sciences,

Computer sciences, other,

Engineering,

Electrical engineering,

Fundamentals of electrical engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mathematics,

General mathematics

© 2019 Béla Finta, published by University of Medicine, Pharmacy, Science and Technology of Targu Mures
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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