Fixed Point Theory and Fractals, 2nd Edition

Dear Colleagues,

In recent decades, fractal theory has proven to be extremely useful for the modeling of many natural and social phenomena, with its applications ranging from biotechnology to financial markets, for instance.

Fractal geometry builds a bridge between classical geometry and modern analysis. The static models of 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 in the space of compact subsets of a metric-type space. 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.

Following the success of the first edition of the Special Issue, entitled “Fixed Point Theory and Fractals”, with this second edition, we continue to emphasize the relationships between both fields, including their theoretical as well as their applied aspects. This volume also welcomes insights into any disciplines (even if they are not developed) that potentially influence others.

We invite you to read and download all our published articles from the first edition at the following link: https://www.mdpi.com/journal/fractalfract/special_issues/K2X7V77KSM.

Dr. Cristina Serpa
Dr. Bilel Selmi
Prof. Dr. María A. Navascués
Guest Editors

Manuscript Submission Information

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