@Article{ATA-28-269,
author = {Shaoyuan Xu , Wangbin Xu ,  and Zhong , Dingxing},
title = {Some New Iterated Function Systems Consisting of Generalized Contractive Mappings},
journal = {Analysis in Theory and Applications},
year = {2012},
volume = {28},
number = {3},
pages = {269--277},
abstract = {<p style="text-align: justify;">Iterated function systems (IFS) were introduced by Hutchinson in 1981 as a natural generalization of the well-known Banach contraction principle. In 2010, D. R. Sahu and A. Chakraborty introduced K-Iterated Function System using Kannan mapping which would cover a larger range of mappings. In this paper, following Hutchinson, D. R. Sahu and A. Chakraborty, we present some new iterated function systems by using the so-called generalized contractive mappings, which will also cover a large range of mappings. Our purpose is to prove the existence and uniqueness of attractors for such class of iterated function systems by virtue of a Banach-like fixed point theorem concerning generalized contractive mappings.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.3969/j.issn.1672-4070.2012.02.007},
url = {http://global-sci.org/intro/article_detail/ata/4562.html}
}