SUMA Publishing Group
Results in Fixed Point Theory and Applications
2581-6047
2018
2018
September
04
Coupled fixed point theorems for generalized contractions in ordered
$M$-metric spaces
1
12
EN
Hossein
Monfared
Department of Mathematics, Bilesavar Branch, Islamic Azad University, Bilesavar, Iran.
masadi.azu@gmail.com
Mehdi
Asadi
Department of Mathematics, Zanjan Branch, Islamic Azad University,
Zanjan, Iran.
masadi.azu@gmail.com
Mahdi
Azhini
Department of Mathematics, Science and Research Branch, Islamic Azad University,
Tehran, Iran.
masadi.azu@gmail.com
https://doi.org/10.30697/rfpta-2018-004
Using control functions, we improve and extend some results of
coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces by Lakshmikantam and $\acute{C}$iri$\acute{c}$ \cite{24}
to ordered $M$-metric spaces.
Fixed point; Partial metric space; $M$-metric space; Coupled fixed point.
http://www.researchinthefixedpointtheory.com/2018/09/04/coupled-fixed-point-theorems-for-generalized-contractions-in-ordered-m-metric-spaces/
http://www.researchinthefixedpointtheory.com/wp-content/uploads/2018/09/RFPTA-2018-004.pdf