Fixed Point Theory and Applications
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.
Amini-Harandi, A., Farajzadeh, A.P., O'Regan, D., Agarwal, R.P. Best proximity pairs for upper semicontinuous set-valued maps in hyperconvex metric spaces (2008) Fixed Point Theory and Applications, 2008, art. no. 648985