Abstract
Fractals have gained great attention from researchers due to their wide applications in engineering and applied sciences. Especially, in several topics of applied sciences, the iterated function systems theory has important roles. As is well known, examples of fractals are derived from the fixed point theory for suitable operators in spaces with complete or compact structures. In this article, a new generalization of Hausdorff distance on , is a class of all nonempty compact subsets of the metric space ( , ). Completeness and compactness of are analogously obtained from its counterparts of ( , ). Furthermore, a fractal is presented under a finite set of generalized -contraction mappings. Also, other special cases are presented.
Publisher
Sociedade Paranaense de Matematica
Reference20 articles.
1. L. M. Alain, "Fractal Geometries Theory and Applications", Hermes, Paris, (1990).
2. M. F. Barnesly, "Fractal Everywhere", Second edition, Academic Press, (1988).
3. N. M. G. Al-Saidi, Sh. S. Al-Bundi, N. J. Al-Jawari, "A hybrid of fractal image coding and fractal dimension for an efficient retrieval method", Computational and Applied Mathematics, Vol. 37, pp 996-1011, (2018). https://doi.org/10.1007/s40314-016-0378-9
4. S. S. Al-Bundi, N. M. G. Al-Saidi, Al- N. J., Al-Jawari, "Crowding Optimization Method to Improve Fractal Image Compressions Based Iterated Function Systems", (IJACSA) International Journal of Advanced Computer Science and Applications, Vol. 7, No. 7, (2016). https://doi.org/10.14569/IJACSA.2016.070755
5. N. M. G. Al-Saidi. S. S. Al-Bundi N. J., Al-Jawari, "An Improved Harmony Search Algorithm For Reducing Computational Time of Fractal Image Coding", Vol.95. No 8, pp. 1669-1679, (2017).
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