Two convergence results for continuous descent methods

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dc.contributor.authorReich, Simeon
dc.contributor.authorZaslavski, Alexander J.
dc.date.accessioned2020-10-02T18:35:20Z
dc.date.available2020-10-02T18:35:20Z
dc.date.issued2003-03-10
dc.description.abstractWe consider continuous descent methods for the minimization of convex functionals defined on general Banach space. We establish two convergence results for methods which are generated by regular vector fields. Since the complement of the set of regular vector fields is σ-porous, we conclude that our results apply to most vector fields in the sense of Baire's categories.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationReich, S., & Zaslavski, A. J. (2003). Two convergence results for continuous descent methods. <i>Electronic Journal of Differential Equations, 2003</i>(24), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12690
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectComplete metric space
dc.subjectConvex function
dc.subjectDescent method
dc.subjectPorous set
dc.subjectRegular vector field
dc.titleTwo convergence results for continuous descent methodsen_US
dc.typeArticle

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