On fixed point results for alpha-implicit contractions in quasi-metric spaces and consequences

On fixed point results for alpha-implicit contractions in quasi-metric spaces and consequences

In this paper, we prove some fixed point results involving α-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces. An example and an application on a solution of a nonlinear integral equation are also presented.

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Veröffentlicht in:Nonlinear analysis (Vilnius, Lithuania) Lithuania), 2016-01, Vol.21 (1), p.40-56
Hauptverfasser: Aydi, Hassen, Jellali, Manel, Karapınar, Erdal
Format: Artikel
Sprache:eng
Schlagworte:
fixed point
G-metric space
implicit contraction
quasi-metric space
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Beschreibung
Zusammenfassung:In this paper, we prove some fixed point results involving α-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces. An example and an application on a solution of a nonlinear integral equation are also presented.
ISSN:1392-5113
2335-8963
DOI:10.15388/NA.2016.1.3