Common fixed point theorems under Pata’s contraction in complex valued metric spaces and an application to integral equations

Common fixed point theorems under Pata’s contraction in complex valued metric spaces and an application to integral equations

In this paper, we prove common fixed point theorems under Pata’s condition in complex valued metric spaces and we apply our main theorem to establish the existence and the uniqueness of a common solution of a system of Urysohn integral equations.

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Veröffentlicht in:Boletín de la Sociedad Matemática Mexicana 2020-07, Vol.26 (2), p.647-656
Hauptverfasser: Berrah, Khaled, Aliouche, Abdelkrim, Ousseif, Takieddine
Format: Artikel
Sprache:eng
Schlagworte:
Existence theorems
Fixed points (mathematics)
Integral equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Metric space
Original Article
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Beschreibung
Zusammenfassung:In this paper, we prove common fixed point theorems under Pata’s condition in complex valued metric spaces and we apply our main theorem to establish the existence and the uniqueness of a common solution of a system of Urysohn integral equations.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-019-00248-0