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

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 genera...
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Autor*in:	Mohammad Imdad [verfasserIn] Waleed M. Alfaqih [verfasserIn] Idrees A. Khan [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Fixed point θ-contraction Weak θ-contraction Iterated function system Countable iterated function system Attractor

Übergeordnetes Werk:	In: Advances in Difference Equations - SpringerOpen, 2006, (2018), 1, Seite 18
Übergeordnetes Werk:	year:2018 ; number:1 ; pages:18

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1186/s13662-018-1900-8

Katalog-ID:	DOAJ036009253

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callnumber-first	Q - Science
author	Mohammad Imdad
spellingShingle	Mohammad Imdad misc QA1-939 misc Fixed point misc θ-contraction misc Weak θ-contraction misc Iterated function system misc Countable iterated function system misc Attractor misc Mathematics Weak θ-contractions and some fixed point results with applications to fractal theory
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topic_title	QA1-939 Weak θ-contractions and some fixed point results with applications to fractal theory Fixed point θ-contraction Weak θ-contraction Iterated function system Countable iterated function system Attractor
topic	misc QA1-939 misc Fixed point misc θ-contraction misc Weak θ-contraction misc Iterated function system misc Countable iterated function system misc Attractor misc Mathematics
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title	Weak θ-contractions and some fixed point results with applications to fractal theory
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title_sort	weak θ-contractions and some fixed point results with applications to fractal theory
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title_auth	Weak θ-contractions and some fixed point results with applications to fractal theory
abstract	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.
abstractGer	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.
abstract_unstemmed	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.
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title_short	Weak θ-contractions and some fixed point results with applications to fractal theory
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Weak θ-contractions and some fixed point results with applications to fractal theory

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