Generalizations of Darbo’s fixed point theorem via simulation functions with application to functional integral equations

In this paper, firstly, we introduce ZμZμ-contraction and ℑμℑμ-contraction via stimulation functions. Secondly, we prove some new fixed point theorems for ZμZμ-contractive mappings and ℑμℑμ-contractive mappings. Our results generalize and extend some existing results. Moreover, some examples and an application to functional integral equations are given to support the obtained results.