@article {
author = {Amini-Harandi, A.},
title = {Best proximity pair and coincidence point theorems for nonexpansive set-valued maps in Hilbert spaces},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {37},
number = {No. 4},
pages = {229-234},
year = {2011},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {This paper is concerned with the best proximity pair problem in Hilbert spaces. Given two subsets $A$ and $B$ of a Hilbert space $H$ and the set-valued maps $F:A o 2^ B$ and $G:A_0 o 2^{A_0}$, where $A_0={xin A: |x-y|=d(A,B)~~~mbox{for some}~~~ yin B}$, best proximity pair theorems provide sufficient conditions that ensure the existence of an $x_0in A$ such that $$d(G(x_0),F(x_0))=d(A,B).$$},
keywords = {Best proximity pair,coincidence point,nonexpansive map,Hilbert space},
url = {http://bims.iranjournals.ir/article_381.html},
eprint = {http://bims.iranjournals.ir/article_381_ecee2580be42e5630823af4e23482eb7.pdf}
}