LAUSR

In this study, we utilize a notion of triple-controlled, metric-type spaces that preserves the symmetry property, which is a generalization of b-metric-type spaces, to prove new fixed-point results. We introduce (α-F)-contractive mappings and Θ-contractive mappings on triple-controlled, metric-type space settings. Then, we establish the existence and uniqueness of fixed-point results on complete triple-controlled, metric-type spaces. Moreover, some examples and applications to boundary-value problems of the fourth-order differential equation are presented to display the usage of the obtained result.