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Florida Institute of Technology

Mathematics and System Engineering Faculty Publications

Best proximity pair

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Full-Text Articles in Mathematics

Best Proximity Pairs For Upper Semicontinuous Set-Valued Maps In Hyperconvex Metric Spaces, Alireza Amini-Harandi, Ali P. Farajzadeh, Donal O'Regan, Ravi P. Agarwal Nov 2008

Best Proximity Pairs For Upper Semicontinuous Set-Valued Maps In Hyperconvex Metric Spaces, Alireza Amini-Harandi, Ali P. Farajzadeh, Donal O'Regan, Ravi P. Agarwal

Mathematics and System Engineering Faculty Publications

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 are proved in hyperconvex metric spaces.