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

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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Bibliographic Details
Main Authors: Mohammad Imdad, Waleed M. Alfaqih, Idrees A. Khan
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Advances in Difference Equations
Subjects:
Fixed point
θ-contraction
Weak θ-contraction
Iterated function system
Countable iterated function system
Attractor
Online Access:http://link.springer.com/article/10.1186/s13662-018-1900-8

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http://link.springer.com/article/10.1186/s13662-018-1900-8

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