Extending the Convexity of Nonlinear Image of a Ball Appearing in Optimization
| dc.contributor.author | Argyros, I.K. | |
| dc.contributor.author | Cho, Y.J. | |
| dc.contributor.author | George, S. | |
| dc.date.accessioned | 2026-02-05T09:29:05Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | Let X, Y be Hilbert spaces and F: X ? Y be Fréchet differentiable. Suppose that F? is center-Lipschitz on U(w, r) and F?(w) be a surjection. Then, S<inf>1</inf> = F(U(w, ?<inf>1</inf>)) is convex where ?<inf>1</inf> ? r. The set S<inf>1</inf> contains the corresponding set given in [18] under the Lipschitz condition. Numerical examples where the old conditions are not satisfied but the new conditions are satisfied are provided in this paper. © 2020 Ioannis K. Argyros, et al. DOI: https://doi.o. | |
| dc.identifier.citation | Contemporary Mathematics (Singapore), 2020, 1, 4, pp. 209-214 | |
| dc.identifier.issn | 27051064 | |
| dc.identifier.uri | https://doi.org/10.37256/cm.142020405 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/24105 | |
| dc.publisher | Universal Wiser Publisher | |
| dc.subject | control theory | |
| dc.subject | convexity | |
| dc.subject | image of a ball | |
| dc.subject | Newton’s method | |
| dc.subject | optimization | |
| dc.title | Extending the Convexity of Nonlinear Image of a Ball Appearing in Optimization |