%0 Journal Article
%T $C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Monfared, Hossein
%A Azhini, Mahdi
%A Asadi, Mehdi
%D 2017
%\ 07/01/2017
%V 8
%N 1
%P 209-224
%! $C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces
%K Fixed point
%K Partial metric space
%K $M$-metric space
%R 10.22075/ijnaa.2017.1636.1429
%X 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.
%U https://ijnaa.semnan.ac.ir/article_2502_9859ace6f794b72f4e7dcfdcef8fbe62.pdf