Two convergence results for continuous descent methods
| dc.contributor.author | Reich, Simeon ( ) | |
| dc.contributor.author | Zaslavski, Alexander J. ( ) | |
| dc.date.accessioned | 2020-10-02T18:35:20Z | |
| dc.date.available | 2020-10-02T18:35:20Z | |
| dc.date.issued | 2003-03-10 | |
| dc.identifier.citation | Reich, S., & Zaslavski, A. J. (2003). Two convergence results for continuous descent methods. Electronic Journal of Differential Equations, 2003(24), pp. 1-11. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/12690 | |
| dc.description.abstract | We 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. | en_US |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Complete metric space | en_US |
| dc.subject | Convex function | en_US |
| dc.subject | Descent method | en_US |
| dc.subject | Porous set | en_US |
| dc.subject | Regular vector field | en_US |
| dc.title | Two convergence results for continuous descent methods | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
