f( psi, phi)-contractions on m-metric spaces

Partial metric spaces were introduced by matthews in 1994 as a part of the study of denotational semantics of data ow networks. in 2014 asadi and et al. [1] extend the partial metric spaces tom-metric spaces. in this work, we introduce the class of f( ; ')-contractions and investigate the existence and uniqueness of xed points for the new class c in the setting of m-metric spaces. the theorems that we prove gen- eralize many previously obtained results. we also give some examples showing that our theorems are indeed proper extensions.