In the present work, we introduce
G -quasi-contractions
using directed
graphs in metric spaces with a graph and we show that this contrac-
tion generalizes a large number of contractions.
the existence of xed points for
We then investigate
G -quasi-contractions
under two dif-
ferent conditions and discuss the main theorem. Finally, we list some
consequences of our theorem where either the contractive condition is
replaced with a stronger one or the underlying space is changed to a
complete metric space or a complete cone metric space.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Ağustos 2016 |
Yayımlandığı Sayı | Yıl 2016 Cilt: 45 Sayı: 4 |