Fixed Point Theory and Applications
A best proximity pair for a set-valued map F : A -○ B with respect to a set-valued map G : A -○ A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem. Copyright © 2008 A. Amini-Harandi et al.
Amini-Harandi, A., Farajzadeh, A.P., O'Regan, D., Agarwal, R.P. Best proximity pairs theorems for continuous set-valued maps (2008) Fixed Point Theory and Applications, 2008, art. no. 607926