Some results on fixed points and best approximation in partial idempotent-valued metric spaces

M. Iranmanrsh, F. Soleimany, S. Radenović
2019 Scientific Publications of the State University of Novi Pazar Series A Applied Mathematics Informatics and mechanics  
In this work, we introduce the concept of a partial idempotent-valued metric space and establish some existence results of fixed point for different contractive type mappings on such spaces. We also study the existence and uniqueness of best proximity points in the setting these spaces.
doi:10.5937/spsunp1902061i fatcat:bikk2od44vfgnmx7jqk4actbny