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http://dx.doi.org/10.4134/BKMS.b150640

GENERALIZED KKM-TYPE THEOREMS FOR BEST PROXIMITY POINTS  

Kim, Hoonjoo (Department of Mathematics education Sehan University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.5, 2016 , pp. 1363-1371 More about this Journal
Abstract
This paper is concerned with best proximity points for multimaps in normed spaces and in hyperconvex metric spaces. Using the generalized KKM theorem, we deduce new best proximity pair theorems for a family of multimaps with unionly open fibers in normed spaces. And we prove a new best proximity point theorem for quasi-lower semicontinuous multimaps in hyperconvex metric spaces.
Keywords
best proximity point; best proximity pair; generalized KKM; R-KKM; unionly open; quasi-lower semicontinuous; hyperconvex; admissible;
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Times Cited By KSCI : 2  (Citation Analysis)
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