%0 Journal Article
%T On subdifferential in Hadamard spaces
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Soleimani-damaneh, M.
%A Movahedi, M.
%A Behmardi, D.
%D 2016
%\ 06/01/2016
%V 42
%N 3
%P 707-717
%! On subdifferential in Hadamard spaces
%K Subdifferential
%K Hadamard Space
%K Flat space
%K Hilbert space
%K Convexity
%R
%X In this paper, we deal with the subdifferential concept onÂ Hadamard spaces. Flat Hadamard spaces are characterized, and necessary and suficient conditions are presented to prove that the subdifferential set in Hadamard spaces is nonempty. Proximal subdifferentialÂ in Hadamard spaces is addressed and some basic properties are high-lighted. Finally, a density theorem for subdifferential set is established.
%U http://bims.iranjournals.ir/article_807_c964b05ed4b54e1642cbd753e007a371.pdf