C-class and F(\psi,\varphi)-contractions on M-metric spaces

Partial metric spaces were introduced by Matthews in ۱۹۹۴ as a part of the study of denotational semantics of data flow networks. In ۲۰۱۴ Asadi and {\it et al.} [New Extension of p-Metric Spaces with Some fixed point Results on M-metric paces, J. Ineq. Appl. ۲۰۱۴ (۲۰۱۴): ۱۸] 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.

کلیدواژه ها:

Fixed point ، Partial metric space ، M-metric space