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On quasi-contractions in metric spaces with a graph

Year 2016, Volume: 45 Issue: 4, 1033 - 1047, 01.08.2016

Abstract

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.

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Year 2016, Volume: 45 Issue: 4, 1033 - 1047, 01.08.2016

Abstract

References

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There are 2 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Kamal Fallahi This is me

Aris Aghanians This is me

Publication Date August 1, 2016
Published in Issue Year 2016 Volume: 45 Issue: 4

Cite

APA Fallahi, K., & Aghanians, A. (2016). On quasi-contractions in metric spaces with a graph. Hacettepe Journal of Mathematics and Statistics, 45(4), 1033-1047.
AMA Fallahi K, Aghanians A. On quasi-contractions in metric spaces with a graph. Hacettepe Journal of Mathematics and Statistics. August 2016;45(4):1033-1047.
Chicago Fallahi, Kamal, and Aris Aghanians. “On Quasi-Contractions in Metric Spaces With a Graph”. Hacettepe Journal of Mathematics and Statistics 45, no. 4 (August 2016): 1033-47.
EndNote Fallahi K, Aghanians A (August 1, 2016) On quasi-contractions in metric spaces with a graph. Hacettepe Journal of Mathematics and Statistics 45 4 1033–1047.
IEEE K. Fallahi and A. Aghanians, “On quasi-contractions in metric spaces with a graph”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, pp. 1033–1047, 2016.
ISNAD Fallahi, Kamal - Aghanians, Aris. “On Quasi-Contractions in Metric Spaces With a Graph”. Hacettepe Journal of Mathematics and Statistics 45/4 (August 2016), 1033-1047.
JAMA Fallahi K, Aghanians A. On quasi-contractions in metric spaces with a graph. Hacettepe Journal of Mathematics and Statistics. 2016;45:1033–1047.
MLA Fallahi, Kamal and Aris Aghanians. “On Quasi-Contractions in Metric Spaces With a Graph”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, 2016, pp. 1033-47.
Vancouver Fallahi K, Aghanians A. On quasi-contractions in metric spaces with a graph. Hacettepe Journal of Mathematics and Statistics. 2016;45(4):1033-47.