Yohannes Gebru (Ph.D.)ABDREZAK AHMEDIN2024-04-052024-04-052023-11In this thesis, common best proximity point theorems for generalized proximal (ψ, φ)-weakly contractive mapping in the cases of non-self mappings are proved. We introduced the notion of generalized proximal (ψ, φ)-weakly contractive mappings in b-metric-like spaces and proved the existence and uniqueness of common best proximity point for generalized proximal (ψ, φ)- weakly contractive mappings in complete b-metric-like spaces. We also included one example supporting examples that our finding is more generalized with the references we used.enThesis