A New Kind of Nonlinear Quasicontractions in Metric Spaces

Starting from two extensions of the Banach contraction principle due to Ćirić (1974) and Wardowski (2012), in the present paper we introduce the concepts of Ćirić type ψ F -contraction and ψ F -quasicontraction on a metric space and give some sufficient conditions under which the respective mappings...

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Bibliographic Details
Published in:Mathematics (Basel) 2020-05, Vol.8 (5), p.661
Main Author: Secelean, Nicolae-Adrian
Format: Article
Language:English
Subjects:
fixed point
Fixed points (mathematics)
Mathematics
Metric space
orbit
Orbits
Picard Operator
Theorems
Ćirić type ψF-contraction
ψF-quasicontraction
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Summary:Starting from two extensions of the Banach contraction principle due to Ćirić (1974) and Wardowski (2012), in the present paper we introduce the concepts of Ćirić type ψ F -contraction and ψ F -quasicontraction on a metric space and give some sufficient conditions under which the respective mappings are Picard operators. Some known fixed point results from the literature can be obtained as particular cases.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8050661