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. doi: 10.22075/ijnaa.2017.1636.1429
MLA
Hossein Monfared; Mahdi Azhini; Mehdi 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
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
VANCOUVER
Monfared, H., Azhini, M., Asadi, M. $C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces. International Journal of Nonlinear Analysis and Applications, 2017; 8(1): 209-224. doi: 10.22075/ijnaa.2017.1636.1429
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