Title of article :
On subdifferential in Hadamard spaces
Author/Authors :
Movahedi ، M. - Alzahra University , Behmardi ، D. - Alzahra University , SOLEIMANI-DAMANEH ، M. - University of Tehran
Abstract :
In this paper, we deal with the subdifferential concept on 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 subdifferential in Hadamard spaces is addressed and some basic properties are highlighted. Finally, a density theorem for subdifferential set is established.
Keywords :
Subdifferential , Hadamard Space , Flat space , Hilbert space , Convexity
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
