Wali Ullah Baloch2025-11-192025-11-192019-07https://escholar.umt.edu.pk/handle/123456789/10780In this thesis, we defined a multivalued Suzuki type contraction and Suzuki type modified proximal and modified proximal contraction and proved some best proximity point results in metric and b metric spaces. Some examples are also illustrated to support the main results proved herein. We also studied the best proximity point results in partially ordered metric and b metric spaces. As an application, for self mappings, we discussed some fixed point results in the setup of metric and b metric space.enThesis