Type:
Best proximity pairs theorems for continuous set-valued maps
Journal: Fixed Point Theory and Algorithms for Sciences and Engineering (16871812)Year: September 2008Volume: 2008Issue:
Amini Harandi A.aFarajzadeh A.P.
Abstract
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.