Some fixed point theorems for $C$-class functions in $b$-metric spaces

Some fixed point theorems for $C$-class functions in $b$-metric spaces

In this paper, via $C$-class functions, as a new class of functions, a fixed theorem in complete $b$-metric spaces is presented. Moreover, we study some results, which are direct consequences of the main results. In addition, as an application, the existence of a solution of an integral equation is...

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Veröffentlicht in:Sahand communications in mathematical analysis 2018-04, Vol.10 (1), p.85-96
Hauptverfasser: Arslan Hojat Ansari, Abdolrahman Razani
Format: Artikel
Sprache:eng
Schlagworte:
b$-metric space
C$-class function
Complete metric space
Fixed point
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Beschreibung
Zusammenfassung:In this paper, via $C$-class functions, as a new class of functions, a fixed theorem in complete $b$-metric spaces is presented. Moreover, we study some results, which are direct consequences of the main results. In addition, as an application, the existence of a solution of an integral equation is given.
ISSN:2322-5807
2423-3900
DOI:10.22130/scma.2017.28505