Best Proximity Pairs Theorems for Continuous Set-Valued Maps
© A. Amini-Harandi et al. 2008
Received: 15 July 2008
Accepted: 16 September 2008
Published: 30 September 2008
A best proximity pair for a set-valued map with respect to a set-valued map 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.
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