Weak θ-contractions and some fixed point results with applications to fractal theory

Autor:	Mohammad Imdad, Waleed M. Alfaqih, Idrees A. Khan
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Fixed point θ-contraction Weak θ-contraction Iterated function system Countable iterated function system Attractor Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-18 (2018)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-018-1900-8
Popis:	Abstract 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.
Databáze:	Directory of Open Access Journals
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