Abstract
The aim of this manuscript is to present a new space, namely, a modified omega(e)-metric-like space, and we establish some related fixed point results using extended F omega(e)-Suzuki and generalized F omega(e)-Suzuki contractions on the mentioned space. Here, we support our theoretical consequences in two ways: the first one consists of presenting illustrative examples and the second one consists of finding analytical solutions for some integral and differential equations in the context of the mentioned space.