Browsing College of Engineering and Science by Author "Farajzadeh, Ali P."

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Best proximity pairs for upper semicontinuous set-valued maps in hyperconvex metric spaces

Amini-Harandi, Alireza; Farajzadeh, Ali P.; O'Regan, Donal; Agarwal, Ravi P. (2008-11-05)

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 ...
Best proximity pairs theorems for continuous set-valued maps

Amini-Harandi, Alireza; Farajzadeh, Ali P.; O'Regan, Donal; Agarwal, Ravi P. (2008-12-30)

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 ...
Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces

Amini-Harandi, Alireza; Farajzadeh, Ali P.; Agarwal, Ravi P.; O'Regan, Donal (2008-12-21)

In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that ...