Metric Fixed Point Theory and Methods of Applications to Fractals and Fractional Equations
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: closed (6 August 2023) | Viewed by 3324
Special Issue Editor
Interests: fixed point; complete metric space; contraction mapping; multivalued mapping; best proximity point; fractals; iterated function systems
Special Issue Information
Dear Colleagues,
Metric fixed point theory has a wide range of applications in science and mathematics, e.g., variational inequalities, approximation theory, nonlinear analysis, integral and differential equations with both ordinary and fractional orders, dynamic systems theory, mathematical economics, game theory, equilibrium problems, optimization problems, and mathematical modeling.
In addition, fractals can be generated via contraction mapping, which plays a key role in metric fixed point theory. This can be obtained using Hutchinson's iterated function system (IFS). An IFS is made up of a metric space and a set of finite contraction mappings.
Under certain conditions, we can reach a fixed compact subset known as an attractor of the IFS or a fractal, if we begin with any compact subset of the metric space and employ these mappings iteratively. Furthermore, IFS is also an efficient method for creating a wide range of geometric objects.
In this Special Issue, we hope to publish articles on fixed point theory and applications in various distance spaces, such as metric space, b-metric space, quasi-metric space, fuzzy metric space, and so on. We anticipate that these articles will include applications to fractional, differential, or integral equations. Additionally, it would be also preferable if the application included any aspect of fractal theory.
Prof. Dr. Ishak Altun
Guest Editor
Manuscript Submission Information
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Keywords
- fixed point
- complete metric space
- contraction mapping
- best proximity point
- iterated function system
- fractals
- fractional differential equation
- fractional derivatives
- existence theorems
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