A new extension of the Darbo theorem for the Schauder type selections with an application

نویسندگان

1 Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran

2 Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran

doi
10.22075/ijnaa.2023.28691.3966
چکیده

In the present article, we provide a new nonlinear contraction for the Schauder type selections of multi-valued mappings in metric spaces which is a new spread of the Darbo theorem. Meanwhile, we apply the main results in coupled fixed-point theory and functional integral equation.