article · Analysis in Theory and Applications · 2012

Some New Iterated Function Systems Consisting of Generalized Contractive Mappings

Cited by 4Abstract and details only

Abstract

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.

Cite this paper

APA 7

Xu, S., Wangbin, X., & Zhong, D. (2012). Some New Iterated Function Systems Consisting of Generalized Contractive Mappings. Analysis in Theory and Applications, 28(3), 269–277. https://doi.org/10.4208/ata.v28.n3.p269

MLA 9

Xu, Shaoyuan, et al. “Some New Iterated Function Systems Consisting of Generalized Contractive Mappings.” Analysis in Theory and Applications, vol. 28, no. 3, 2012, pp. 269–77, https://doi.org/10.4208/ata.v28.n3.p269.

Chicago

Xu, Shaoyuan, XU Wangbin, and Dingxing Zhong. 2012. “Some New Iterated Function Systems Consisting of Generalized Contractive Mappings.” Analysis in Theory and Applications 28 (3): 269–77. https://doi.org/10.4208/ata.v28.n3.p269.

Harvard

Xu, S., Wangbin, X. and Zhong, D. (2012) ‘Some New Iterated Function Systems Consisting of Generalized Contractive Mappings’, Analysis in Theory and Applications, 28(3), pp. 269–277. Available at: https://doi.org/10.4208/ata.v28.n3.p269.

BibTeX

@article{xu2012some,
  title = {{Some New Iterated Function Systems Consisting of Generalized Contractive Mappings}},
  author = {Xu, Shaoyuan and Wangbin, XU and Zhong, Dingxing},
  journal = {Analysis in Theory and Applications},
  volume = {28},
  number = {3},
  pages = {269--277},
  year = {2012},
  doi = {10.4208/ata.v28.n3.p269}
}

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