The fixed point results of T-Hardy Rogers type mappings that are satisfying generalized contractive conditions in the setup of multiplicative metric spaces are investigated. The well-posedness and limit shadowing property of T-Hardy Rogers type mappings are also established. Furthermore, periodic point property of these contraction mappings are also shown. Several examples are also presented to show the validity of main results.The coupled fixed point results are also obtained in multiplicative metric spaces. An application for solving integral equations are established in the frame work of multiplicative metric spaces.