COMMON BEST PROXIMITY POINT RESULTS FOR MULTI-VALUED CYCLIC MAPPINGS ON PARTIAL METRIC SPACES

Abstract

This thesis investigates best proximity point theory as a natural generalization of classical fixed point results to non-self mappings. The study focuses on generalized (α,T)-contraction mappings, cyclic and multi-valued in partial metric spaces. By unifying concepts from Hausdorff metric space and partial metric spaces, we develop existence and uniqueness theorems for best proximity points under various contractive conditions. The results extend the principle to provide new insights into cyclic and multi-valued mappings. Illustrative examples are presented to verify the applicability of the findings