Classes of functions on common fixed points for two mappings of integral type with semi-implicit contractive conditions in metric spaces

Abstract

In this paper, by using the classes $\mathcal{C}$ and $\Phi_u$ of functions to introduce a generalization of the known class $\Psi$ of 5-dimensional functions, we discuss the existence problems of common fixed points for two mappings of integral type with semi-implicit contractive conditions and give more general results and some particular forms.