COMMON BEST PROXIMITY POINT THEOREMS FOR GENERALIZED PROXIMAL WEAKLY CONTRATIVE MAPPING IN b-METRIC SPACES

Abstract

In this thesis, common best proximity point theorems for weakly contrac- tive mapping in b-metric spaces in the cases of non-self mappings are proved, we introduced the notion of generalized proximal weakly contrac- tive mappings in b-metric spaces and proved the existence and uniqueness of common best proximity point for these mappings in complete b-metric spaces. We also included some supporting examples that our finding is more generalize that the references we used.