ON ENRICHED CYCLIC ITERATED FUNCTION SYSTEMS

被引:0
作者
Bisht, Ravindra K. [1 ]
机构
[1] Natl Def Acad, Dept Math, Pune 411023, India
来源
FIXED POINT THEORY | 2024年 / 25卷 / 02期
关键词
Cyclic contraction; fractal; iterated function system;
D O I
10.24193/fpt-ro.2024.2.03
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider a new class of generalized enriched cyclic contraction and establish a related fixed point theorem in the setting of a Banach space. As an application to the fractals, we develop a new iterated function system (IFS) consisting of enriched cyclic (b(n),phi(n)(t),beta n(t))- contractions.
引用
收藏
页码:495 / 506
页数:12
相关论文
共 50 条
[41]   Iterated function systems with symmetry in the hyperbolic plane [J].
Adcock, BM ;
Jones, KC ;
Reiter, CA ;
Vislocky, LM .
COMPUTERS & GRAPHICS-UK, 2000, 24 (05) :791-796
[42]   ITERATED FUNCTION SYSTEMS. A CRITICAL SURVEY [J].
Iosifescu, Marius .
MATHEMATICAL REPORTS, 2009, 11 (03) :181-229
[43]   Normalization of the collage regions of iterated function systems [J].
Zhang, Zhengbing ;
Zhang, Wei .
OPTOELECTRONIC IMAGING AND MULTIMEDIA TECHNOLOGY II, 2012, 8558
[44]   Ergodic theorem for infinite iterated function systems [J].
O H.-C. ;
Ro Y.-H. ;
Kil W.-G. .
Applied Mathematics and Mechanics, 2005, 26 (4) :465-469
[45]   Topological properties of the attractors of iterated function systems [J].
Dumitru, Dan .
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2011, 19 (03) :117-126
[46]   Affine transformation in random iterated function systems [J].
Xiong, Y ;
Shi, DH .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 22 (07) :820-826
[47]   Iterated function systems with a weak separation condition [J].
Lau, KS ;
Wang, XY .
STUDIA MATHEMATICA, 2004, 161 (03) :249-268
[48]   Fixed Point Theorems of the Iterated Function Systems [J].
Ji Youqing ;
Liu Zhi ;
Ri Songil .
Communications in Mathematical Research, 2016, 32 (02) :142-150
[49]   Homoclinic attractors in discontinuos iterated function systems [J].
Lesniak, Krzysztof .
CHAOS SOLITONS & FRACTALS, 2015, 81 :146-149
[50]   ON ATTRACTORS OF TYPE 1 ITERATED FUNCTION SYSTEMS † [J].
Mathew, Jose ;
Mathew, Sunil ;
Secelean, Nicolae Adrian .
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2024, 42 (03) :583-605