Fixed point and coupled fixed point theorems on b-metric-like spaces

We first introduce the concept of b -metric-like space which generalizes the notions of partial metric space, metric-like space and b -metric space. Then we establish the existence and uniqueness of fixed points in a b -metric-like space as well as in a partially ordered b -metric-like space. As an application, we derive some new fixed point and coupled fixed point results in partial metric spaces, metric-like spaces and b -metric spaces. Moreover, some examples and an application to integral equations are provided to illustrate the usability of the obtained results. MSC: 47H10, 54H25, 55M20.