article · Fractals · 2010
K-ITERATED FUNCTION SYSTEM
Daya Ram Sahu, Anindita Chakraborty, R.P. Dubey
Cited by 45Abstract and details only
Abstract
In 1969, Kannan1 gave the definition of a new mapping which had presented a condition which is more lenient than contraction condition. The purpose of this note is to introduce K-Iterated Function System using Kannan mapping which will cover a larger range of mappings. We also prove the Collage theorem for the K-Iterated Function System.
Cite this paper
Sahu, D. R., Chakraborty, A., & Dubey, R. (2010). K-ITERATED FUNCTION SYSTEM. Fractals, 18(01), 139–144. https://doi.org/10.1142/s0218348x10004713
Sahu, Daya Ram, et al. “K-ITERATED FUNCTION SYSTEM.” Fractals, vol. 18, no. 01, 2010, pp. 139–44, https://doi.org/10.1142/s0218348x10004713.
Sahu, Daya Ram, Anindita Chakraborty, and R.P. Dubey. 2010. “K-ITERATED FUNCTION SYSTEM.” Fractals 18 (01): 139–44. https://doi.org/10.1142/s0218348x10004713.
Sahu, D.R., Chakraborty, A. and Dubey, R. (2010) ‘K-ITERATED FUNCTION SYSTEM’, Fractals, 18(01), pp. 139–144. Available at: https://doi.org/10.1142/s0218348x10004713.
@article{sahu2010iterated,
title = {{K-ITERATED FUNCTION SYSTEM}},
author = {Sahu, Daya Ram and Chakraborty, Anindita and Dubey, R.P.},
journal = {Fractals},
volume = {18},
number = {01},
pages = {139--144},
year = {2010},
doi = {10.1142/s0218348x10004713}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.
Related papers
Fractals of Interpolative Kannan Mappings
Xiangting Shi, Umar Ishtiaq, Muhammad Din et al. · Fractal and Fractional · 2024
Cited by 44Open access
Generalized Kannan Maps with Application to Iterated Function System
B. V. Prithvi, S. K. Katiyar · Chapman & Hall/CRC eBooks · 2023
Cited by 7
Generation of fractals via iterated function system of Kannan contractions in controlled metric space
Chinnasamy Thangaraj, D. Easwaramoorthy, Bilel Selmi et al. · Mathematics and Computers in Simulation · 2023
Cited by 29
On iterated function systems consisting of Kannan maps, Reich maps, Chatterjea type maps, and related results
Nguyen Van Dũng, Adrian Petruşel · Journal of Fixed Point Theory and Applications · 2017
Cited by 35
Some New Iterated Function Systems Consisting of Generalized Contractive Mappings
Shaoyuan Xu, XU Wangbin, Dingxing Zhong · Analysis in Theory and Applications · 2012
Cited by 4
Weakly enriched cyclic contraction and its fractal
Himanshu Baranwal, Arya K. B. Chand, Adrian Petruşel et al. · Optimization · 2025
Cited by 1
Fractal Attractor via Controlled Strong b-Kannan Iterated Function System
Mamoon Ahmed, D. Easwaramoorthy · International Journal of Analysis and Applications · 2025
Cited by 2Open access
Construction of Fractal Functions Using Kannan Mappings and Smoothness Analysis
Chandra, Subhash, Saurabh Verma, Syed Abbas · arXiv (Cornell University) · 2023
Cited by 3Open access