Best Proximity Pairs Theorems for Continuous Set-Valued Maps

Authors

Alireza Amini-Harandi
Ali P. Farajzadeh
Donal O'Regan
Ravi P. Agarwal

Document Type

Article

Publication Title

Fixed Point Theory and Applications

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.

DOI

10.1155/2008/607926

Publication Date

12-30-2008

Recommended Citation

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