Debnath, PradipSrivastava, H.M.2022-11-302022-11-3020202020Debnath, P. & Srivastava, H. M. (2020). “Global optimization and common best proximity points for some multivalued contractive pairs of mappings.” Axioms, 9(3), 102. https://doi.org/10.3390/axioms9030102https://doi.org/10.3390/axioms9030102http://hdl.handle.net/1828/14536In this paper, we study a problem of global optimization using common best proximity point of a pair of multivalued mappings. First, we introduce a multivalued Banach-type contractive pair of mappings and establish criteria for the existence of their common best proximity point. Next, we put forward the concept of multivalued Kannan-type contractive pair and also the concept of weak D-property to determine the existence of common best proximity point for such a pair of maps.encommon best proximity pointfixed pointcontraction mapcomplete metric spacemultivalued mapoptimizationArticleDepartment of Mathematics and Statistics