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On the density
theorem for the subdifferential of convex functions on
Hadamard spaces
Mina Movahedi, Daryoush Behmardi and Seyedehsomayeh Hosseini |
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Vol. 276 (2015), No. 2, 437–447
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Abstract |
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We introduce a dual space for any geodesically complete Hadamard space. By using this notion we give a new definition of the subdifferential of convex functions on geodesically complete Hadamard spaces. Some properties of this subdifferential, such as a density theorem, are proved. |
Keywords
Hadamard spaces, convex functions, subdifferential
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Mathematical Subject Classification 2010
Primary: 53C23
Secondary: 47H05
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Milestones
Received: 30 April 2014
Revised: 19 January 2015
Accepted: 2 February 2015
Published: 15 July 2015
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Authors |
| Mina Movahedi | |
| Department of Mathematics Faculty of Sciences Alzahra University Tehran Iran |
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| Daryoush Behmardi | |
| Department of Mathematics Faculty of Sciences Alzahra University Tehran Iran |
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| Seyedehsomayeh Hosseini | |
| Seminar of Applied Mathematics Eidgenössische Technische Hochschule CH-8092 Zürich Switzerland |
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