some new contractive mappings in b- metric spaces and its applications

This paper introduces certain new classes of contractive mappings through establishing some fixed point theorems for the mappings of the b- metric spaces setting. The findings of the paper are based on generalization, unification and modification of some recently reported theorems in the literature. As applications of the results, the certain new fixed point theorems in b- metric spaces are deduced whereas a graph or a partial order is granted to the range space. Furthermore, an example is given to demonstrate the usefulness of the findings.