Fixed Point Theory and Applications (Jan 2009)
Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces
Abstract
A best proximity pair for a set-valued map F:A⊸B with respect to a map g:A→A is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism are proved in hyperconvex metric spaces.
