Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In 2014 Asadi and {\it et al.} [New Extension of $p$-Metric Spaces with Some fixed point Results on $M$-metric paces, J. Ineq. Appl. 2014 (2014): 18] extend the Partial metric spaces to $M$-metric spaces. In this work, we introduce the class of $F(\psi,\varphi)$-contractions and investigate the existence and uniqueness of fixed points for the new class $\mathcal{C}$ in the setting of $M$-metric spaces. The theorems that we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions.
Monfared, H., Azhini, M. & Asadi, M. (2017). $C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces. International Journal of Nonlinear Analysis and Applications, 8(1), 209–224. https://doi.org/10.22075/ijnaa.2017.1636.1429
MLA
Monfared, H., Azhini, M., & Asadi, M. "$C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces", International Journal of Nonlinear Analysis and Applications, 8, 1, 2017, 209–224. doi: 10.22075/ijnaa.2017.1636.1429
HARVARD
Monfared, H., Azhini, M., & Asadi, M. (2017). '$C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces', International Journal of Nonlinear Analysis and Applications, 8(1), pp. 209–224. doi: 10.22075/ijnaa.2017.1636.1429
CHICAGO
Monfared, H., Azhini, M. & Asadi, M., "$C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces." International Journal of Nonlinear Analysis and Applications, 8 1 (2017): 209–224, doi: 10.22075/ijnaa.2017.1636.1429
VANCOUVER
Monfared H., Azhini M., Asadi M. $C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces. IJNAA. 2017;8(1):209–224. doi: 10.22075/ijnaa.2017.1636.1429
International Journal of Nonlinear Analysis and Applications