期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

SOME NEW ITERATED FUNCTION SYSTEMS CONSISTING OF GENERALIZED CONTRACTIVE MAPPINGS

SOME NEW ITERATED FUNCTION SYSTEMS CONSISTING OF GENERALIZED CONTRACTIVE MAPPINGS
下载PDF
导出
摘要 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. 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.
作者 Shaoyuan Xu Wangbin Xu Dingxing Zhong
机构地区 Gannan Normal University Hubei Normal University
出处 《Analysis in Theory and Applications》 2012年第3期269-277,共9页 分析理论与应用（英文刊）
基金 Partially supported by National Natural Science Foundation of China (No. 10961003)
关键词 iterated function system ATTRACTOR generalized contractive mapping completemetric space fixed point iterated function system, attractor, generalized contractive mapping, completemetric space, fixed point
分类号 O177.91 [理学—基础数学] TP391.41 [自动化与计算机技术—计算机应用技术]
  • 相关文献

参考文献13

  • 1Andres, J., Some Standard Fixed-point Theorems Rrevisited, Atti Sem. Mat. Fis. Univ. Modena, 49(2001), 455 -471.
  • 2Banach, S., Sur Les Operations Dans Les Ensembles Abstrait et Leur Application Aux Equations, integrals, Fundam. Math., 3(1992), 133-181.
  • 3Bamsley, M. F. and Dernko, S., Iterated Function Systems and the Global Construction of Fractals, Proc. R. Soc. Lond., Ser. A, 399(185), 243-275.
  • 4Barnsley, M. E, Fractals Everywhere, Academic Press, NY, 1998.
  • 5Block, L. and Keesling, J., Iterated Function Systems and the Code Space, Topol. Appl., 122(2002), 65-75.
  • 6Duvall, P. F., Emert, J. W. and Husch, L. S., Iterated Function Systems, Compact Semigroups, and Topolog- ical Contractions, Continuum Theory and Dynamical Systems, ed. West, T., Lecture Notes in Pure Applied Mathematics, 149(1993), 113-155, Marcel Dekker, N~.
  • 7Fiser, J., Iterated Function and Multifunction Systems; Attractors and Their Basins of Attraction, PhD thesis, Palacksy University, Olomouc, in Czech, 2002.
  • 8Hutchinson, J. E., Fractals and Self Similarity, Indiana Univ. Math. J., 30(1981), 713-747.
  • 9Kannan, R., Some Results on Fixed Points-II, Am. Math. Mon., 76(1969), 405-408.
  • 10Kieninger, B., Iterated Function Systems on Com- pact Hausdorff Spaces, PhD thesis, University of Augsburg, 1972.
Analysis in Theory and Applications
2012年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部