GENERALIZATION OF WEAKLY G-EXPANSIVE AND WEAKLY G-CONTRACTIVE MAPPINGS

ABSTRACT. The manuscript is devoted to investigation of generalized contractive and expansive mappings in G-metric spaces. We define the (m,p)-expansive and (m,p)-contractive mappings in generalized metric spaces, which are extensions of (m,p)-expansive and (m,p)-contractive mappings in metric spaces recently introduced by the forth named author in [16] and [17]. Some of basic properties of these classes of mappings are given