Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces

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作者
A. Amini-Harandi
A. P. Farajzadeh
D. O'Regan
R. P. Agarwal
机构
[1] University of Shahrekord,Department of Mathematics, Faculty of Basic Sciences
[2] Razi University,Department of Mathematics, School of Science
[3] National University of Ireland,Department of Mathematics, College of Arts, Social Sciences and Celtic Studies
[4] Florida Institute of Technology,Department of Mathematical Sciences, College of Science
关键词
Differential Geometry; Computational Biology; Full Article; Publisher Note; Proximity Pair;
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摘要
A best proximity pair for a set-valued map [inline-graphic not available: see fulltext] with respect to a map [inline-graphic not available: see fulltext] 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.
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