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 and 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. doi: 10.22075/ijnaa.2017.1636.1429
MLA
Monfared,H , , Azhini,M , and 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
H Monfared, M Azhini and M Asadi, "$C$-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