New type of fixed point theorems in generalized metric spaces

In this paper, we prove some new type of fixed point theorems in generalized complete metric spaces. The results presented in this paper mainly improve the corresponding results announced by Wardowski [D. Wardowski, Fixed point theory of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012 (2012), Article ID 94] from metric spaces to generalized metric spaces.