Metric and Geometric Relaxations of Self-Contracted Curves-Reference-Cited by-同舟云学术

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Metric and Geometric Relaxations of Self-Contracted Curves

Published:2018-10-13 Issue:1 Volume:182 Page:81-109
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Daniilidis Aris^ORCID,Deville Robert,Durand-Cartagena Estibalitz

Funder

FONDECYT

ECOS CONICYT

ECOS SUD

REDES CONICYT

MINECO of Spain and ERDF of EU

BASAL

MINECO of Spain

ETSI Industriales UNED

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1007/s10957-018-1408-0.pdf

Reference12 articles.

1. Daniilidis, A., Ley, O., Sabourau, S.: Asymptotic behavior of self-contracted planar curves and gradient orbits of convex functions. J. Math. Pures Appl. 94, 183–199 (2010)

2. Manselli, P., Pucci, C.: Maximum length of steepest descent curves for quasi-convex functions. Geom. Dedicata 38, 211–227 (1991)

3. Daniilidis, A., Drusvyatskiy, D., Lewis, A.S.: Orbits of geometric descent. Can. Math. Bull. 58, 44–50 (2015)

4. Longinetti, M., Manselli, P., Venturi, A.: On steepest descent curves for quasi convex families in $${\mathbb{R}}^{n}$$ R n . Math. Nachr. 288, 420–442 (2015)

5. Daniilidis, A., David, G., Durand-Cartagena, E., Lemenant, A.: Rectifiability of self-contracted curves in the Euclidean space and applications. J. Geom. Anal. 25, 1211–1239 (2015)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Rectifiability Property for Plane Paths and Descent Curves;Journal of Optimization Theory and Applications;2020-08-31

2. Plane R-curves II;Applicable Analysis;2019-04-03

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