on subdifferential in hadamard spaces
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abstract
in this paper, we deal with the subdi erential 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 subdi erentialin hadamard spaces is addressed and some basic properties are high-lighted. finally, a density theorem for subdi erential set is established.
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Article history: Received 20 May 2015 Available online 6 November 2015 Communicated by Reinhard Laubenbacher MSC: 14T05 14N05 68W30 14M99
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Journal title:
bulletin of the iranian mathematical societyجلد ۴۲، شماره ۳، صفحات ۷۰۷-۷۱۷
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