Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions

Abstract

In this paper, we obtain some fixed point results for generalized weakly contractive mappings with some auxiliary functions in the framework of b-metric spaces. The proved results generalize and extend the corresponding well-known results of the literature. Some examples are also provided in order to show that these results are more general than the well-known results existing in literature. MSC: Primary 47H10; secondary 54H25.