On subdifferential in Hadamard spaces

نویسندگان

D. Behmardi Department of Mathematics‎, ‎Faculty of Sciences‎, ‎Alzahra University‎, ‎Tehran‎, ‎Iran.

M. Movahedi Department of Mathematics‎, ‎Faculty of Sciences‎, ‎Alzahra University‎, ‎Tehran‎, ‎Iran.

M. Soleimani-damaneh {School of Mathematics‎, ‎Statistics and Computer Science‎, ‎College of Science‎, ‎University of‎ ‎Tehran‎, ‎Enghelab Avenue‎, ‎Tehran‎, ‎Iran.

چکیده مقاله:

In this paper, we deal with the subdierential concept onHadamard spaces. Flat Hadamard spaces are characterized, and nec-essary and sucient conditions are presented to prove that the subdif-ferential set in Hadamard spaces is nonempty. Proximal subdierentialin Hadamard spaces is addressed and some basic properties are high-lighted. Finally, a density theorem for subdierential set is established.

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on subdifferential in hadamard spaces

in this paper, we deal with the subdierential concept onhadamard spaces. flat hadamard spaces are characterized, and nec-essary and sucient conditions are presented to prove that the subdif-ferential set in hadamard spaces is nonempty. proximal subdierentialin hadamard spaces is addressed and some basic properties are high-lighted. finally, a density theorem for subdierential set is establi...

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