Name: Fixed Point Theory and Fractals (en Inglés)
SKU: 66541381
Price: 79.84 USD
Availability: InStock
Author: Navascués, María A.; Selmi, Bilel; Serpa, Cristina

portada Fixed Point Theory and Fractals (en Inglés)

Fixed Point Theory and Fractals (en Inglés)

Formato

Libro Físico

Editorial

Mdpi AG

Autor

Navascués, María A.; Selmi, Bilel; Serpa, Cristina

Idioma

Inglés

N° páginas

194

Encuadernación

Tapa Dura

Dimensiones

24.4x17x1.8 cm

ISBN13

9783725854035

Fixed Point Theory and Fractals (en Inglés)

Navascués, María A.; Selmi, Bilel; Serpa, Cristina (Autor) · Mdpi AG · Tapa Dura

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Reseña del libro "Fixed Point Theory and Fractals (en Inglés)"

In recent decades, fractal theory has proven to be extremely useful for the modelling of a great quantity of natural and social phenomena. Its fields of application range from biotechnology to financial markets, for instance.Fractal geometry builds a bridge between classical geometry and modern analysis. The static models of the old geometry are enriched with the dynamics of an infinite iterative process, where the outputs are not merely points but more sophisticated geometric objects and structures. A fractal set can be described in very different ways, but the current mathematical research tends to define a fractal as the fixed point of an operator on the space of compact subsets of a space of a metric type. Iterated function systems provide a way of constructing an operator of this kind, and a procedure for the approximation of its fixed points. Thus, the relationships between fractal and fixed-point theories are deep and increasingly intricate.This Reprint is aimed at emphasizing the relationships between both fields, including their theoretical and their applied aspects.