Subdifferentials and their applications

Simple item page
dc.contributor.authorWu, Zilien_US
dc.date.accessioned2024-08-15T20:18:48Z
dc.date.available2024-08-15T20:18:48Z
dc.date.copyright1997en_US
dc.date.issued1997
dc.degree.departmentDepartment of Mathematics and Statisticsen_US
dc.degree.levelMaster of Science M.Sc.en
dc.description.abstractTo deal with nonsmooth phenomena in mathematics and optimization, various kinds of subdifferentials have been introduced in the literature over the last two decades. Among them are the Clarke generalized gradient, the limiting subgradient, and the proximal subgradient. In this thesis, we provide some conditions that guarantee the nonemptiness of the proximal subgradient, and the sum rule for proximal subgradients to hold. We have also found a class of functions f that can be recovered up to a constant by the proximal subgradient of J or - J. Finally we provide some sufficient conditions for the existence of error bounds in terms of the above three subdifferentials.
dc.format.extent94 pages
dc.identifier.urihttps://hdl.handle.net/1828/20208
dc.rightsAvailable to the World Wide Weben_US
dc.titleSubdifferentials and their applicationsen_US
dc.typeThesisen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
WU_ZILI_MSc_1997_934652.pdf
Size:
1.99 MB
Format:
Adobe Portable Document Format
Download

Collections

Electronic Theses and Dissertations (ETD)
Theses (Mathematics and Statistics)
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.