|
Matematicheskie Zametki, 2019, Volume 105, Issue 5, paper published in the English version journal
(Mi mzm11644)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
Papers published in the English version of the journal
Fixed Points of a
$\varphi$-$G$-Contractive Mapping
with Respect to a
$c$-Distance on an Abstract Metric Space
Endowed with a Graph
K. Fallahi, G. Soleimani Rad Department of Mathematics, Payame Noor University, Tehran, 19395-4697 Iran
Abstract:
In this paper, we prove the existence of fixed points for any mapping that is a
Banach
$G$-contraction with respect to a
$c$-distance on a cone metric space
endowed with a graph.
Keywords:
$c$-distance, orbitally
$G$-continuous, Picard operator,
weak connected graph,
$\varphi$-$\widetilde G$-contraction.
Received: 18.04.2017 Revised: 15.01.2019
Citation:
K. Fallahi, G. Soleimani Rad, “Fixed Points of a
$\varphi$-$G$-Contractive Mapping
with Respect to a
$c$-Distance on an Abstract Metric Space
Endowed with a Graph”, Math. Notes, 105:5 (2019), 781–788
Linking options:
https://www.mathnet.ru/eng/mzm11644
|
|