文章基本信息

标题：Weak θ -contractions and some fixed point results with applications to fractal theory
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作者：Mohammad Imdad ; Waleed M. Alfaqih ; Idrees A. Khan 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：439
DOI：10.1186/s13662-018-1900-8
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we define weak θ-contractions on a metric space into itself by extending θ-contractions introduced by Jleli and Samet (J. Inequal. Appl. 2014:38, 2014) and utilize the same to prove some fixed point results besides proving some relation-theoretic fixed point results in generalized metric spaces. Moreover, we give some applications to fractal theory improving the classical Hutchinson–Barnsley′s theory of iterated function systems. We also give illustrative examples to exhibit the utility of our results.
关键词：Fixed point ; θ -contraction ; Weak θ -contraction ; Iterated function system ; Countable iterated function system ; Attractor ; Binary relation