Best proximity pairs for upper semicontinuous set-valued maps in hyperconvex metric spaces.
Amini-Harandi, A., Farajzadeh, A.P., O'Regan, D., Agarwal, R.P. (2008)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Coincidence point, best approximation, and best proximity theorems for condensing set-valued maps in hyperconvex metric spaces.”
Best proximity pairs for upper semicontinuous set-valued maps in hyperconvex metric spaces.
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In this paper, we first establish the dual form of Knaster- Kuratowski-Mazurkiewicz principle which is a hyperconvex version of corresponding result due to Shih. Then Ky Fan type matching theorems for finitely closed and open covers are given. As applications, we establish some intersection theorems which are hyperconvex versions of corresponding results due to Alexandroff and Pasynkoff, Fan, Klee, Horvath and Lassonde. Then Ky Fan type best approximation theorem and Schauder-Tychonoff...