Abstract
A metric space with nonzero self distance gives us a generalization of metric spaces which is coined as a partial metric space. In this paper we discuss the construction of an n-fractal which is the attractor of a collection of n-IFSs in a partial metric space.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Mathews SG (1992) Partial metric topology. In: Proceedings 8th summer conference on topology and its applications. New York
S. J. O’Neill (1995) Partial metrics, valuations and domain theory. In: Proceedings of the 11th Summer Conference on General Topology and Applications, vol 806, pp 304–315. The New York Academy of Sciences, Gorham, Me, USA
Balu R, Mathew S (2013) On (n, m)-iterated function systems. Asian-Eur J Math 6(4)
Minirani S, Mathew S (2014) Fractals in partial metric spaces: fractals, wavelets, and their applications, springer proceedings in mathematics. Springer, Heidelberg, pp 203–215
Barnsley MF (1997) Fractals everywhere. Academic Press. https://doi.org/10.1109/HPDC.2001.945188
Falconer KJ (1990) Fractal geometry-foundations and applications. Wiley, New York
Aydi et al (2012) Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces. Topol Appl 159:3234–3242
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Minirani, S. (2021). n-Fractals in Partial Metric Spaces. In: Giri, D., Buyya, R., Ponnusamy, S., De, D., Adamatzky, A., Abawajy, J.H. (eds) Proceedings of the Sixth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1262. Springer, Singapore. https://doi.org/10.1007/978-981-15-8061-1_43
Download citation
DOI: https://doi.org/10.1007/978-981-15-8061-1_43
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-8060-4
Online ISBN: 978-981-15-8061-1
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)