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This article is cited in 3 scientific papers (total in 3 papers)
Fixed point results for Hardy–Rogers type contractions with respect to a $c$-distance in graphical cone metric spaces
L. Aryanpour, H. Rahimi, G. Soleimani Rad Department of Mathematics, Faculty of Science,
Central Tehran Branch, Islamic Azad University, Tehran, Iran
Abstract:
The aim of this paper is to prove some existence and uniqueness results of the fixed points for Hardy–Rogers type contraction in cone metric spaces associated with a $c$-distance and endowed with a graph. These results prepare a more general statement, since we apply the condition of orbitally $G$-continuity of mapping instead of the condition of continuity, and consider cone metric spaces endowed with a graph instead of cone metric spaces.
Keywords:
$c$-distance, cone metric spaces, fixed point, orbitally $G$-continuous, connected graph.
Received: 20.07.2019 Revised: 04.02.2020 Accepted: 07.02.2020
Citation:
L. Aryanpour, H. Rahimi, G. Soleimani Rad, “Fixed point results for Hardy–Rogers type contractions with respect to a $c$-distance in graphical cone metric spaces”, Probl. Anal. Issues Anal., 9(27):1 (2020), 27–37
Linking options:
https://www.mathnet.ru/eng/pa285 https://www.mathnet.ru/eng/pa/v27/i1/p27
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