-
Previous Article
Remarks on certain singular perturbations with ill-posed limit in shell theory and elasticity
- DCDS Home
- This Issue
-
Next Article
Center manifold: A case study
Exhausters, coexhausters and converters in nonsmooth analysis
1. | Saint Petersburg State University, 7-9, Universitetskaya nab., St.Petersburg, Russian Federation, Russian Federation |
References:
[1] |
M. Castellani, A dual characterization for proper positively homogeneous functions,, Journal of Global Optimization, 16 (2000), 393.
doi: 10.1023/A:1008394516838. |
[2] |
V. F. Demyanov, Exhausters of a positively homogeneous function,, Dedicated to the Memory of Professor Karl-Heinz Elster, 45 (1999), 13.
doi: 10.1080/02331939908844424. |
[3] |
V. F. Demyanov, Exhausters and convexificators - new tools in nonsmooth analysis,, in, 43 (2000), 85.
|
[4] |
V. F. Demyanov and V. A. Roshchina, Optimality conditions in terms of upper and lower exhausters,, Optimization, 55 (2006), 525.
doi: 10.1080/02331930600815777. |
[5] |
V. F. Demyanov and A. M. Rubinov, Elements of quasidifferential calculus,, in, (1982), 5. Google Scholar |
[6] |
V. F. Demyanov and A. M. Rubinov, "Quasidifferential Calculus,", Springer - Optimization Software, (1986).
|
[7] |
V. F. Demyanov and A. M. Rubinov, "Constructive Nonsmooth Analysis,", Approximation and Optimization, 7 (1995).
|
[8] |
V. F. Demyanov and A. M. Rubinov, Exhaustive families of approximations revisited,, in, 55 (2001), 43.
|
[9] |
B. N. Pschenichnyi, "Convex Analysis and Extremal Problems,", Nauka, (1980). Google Scholar |
[10] |
R. T. Rockafellar, "Convex Analysis,", Princeton Mathematical Series, (1970).
|
[11] |
A. Uderzo, Convex approximators, convexificators and exhausters: Applications to constrained extremum problems,, in, 43 (2000), 297.
|
show all references
References:
[1] |
M. Castellani, A dual characterization for proper positively homogeneous functions,, Journal of Global Optimization, 16 (2000), 393.
doi: 10.1023/A:1008394516838. |
[2] |
V. F. Demyanov, Exhausters of a positively homogeneous function,, Dedicated to the Memory of Professor Karl-Heinz Elster, 45 (1999), 13.
doi: 10.1080/02331939908844424. |
[3] |
V. F. Demyanov, Exhausters and convexificators - new tools in nonsmooth analysis,, in, 43 (2000), 85.
|
[4] |
V. F. Demyanov and V. A. Roshchina, Optimality conditions in terms of upper and lower exhausters,, Optimization, 55 (2006), 525.
doi: 10.1080/02331930600815777. |
[5] |
V. F. Demyanov and A. M. Rubinov, Elements of quasidifferential calculus,, in, (1982), 5. Google Scholar |
[6] |
V. F. Demyanov and A. M. Rubinov, "Quasidifferential Calculus,", Springer - Optimization Software, (1986).
|
[7] |
V. F. Demyanov and A. M. Rubinov, "Constructive Nonsmooth Analysis,", Approximation and Optimization, 7 (1995).
|
[8] |
V. F. Demyanov and A. M. Rubinov, Exhaustive families of approximations revisited,, in, 55 (2001), 43.
|
[9] |
B. N. Pschenichnyi, "Convex Analysis and Extremal Problems,", Nauka, (1980). Google Scholar |
[10] |
R. T. Rockafellar, "Convex Analysis,", Princeton Mathematical Series, (1970).
|
[11] |
A. Uderzo, Convex approximators, convexificators and exhausters: Applications to constrained extremum problems,, in, 43 (2000), 297.
|
[1] |
Bernold Fiedler. Global Hopf bifurcation in networks with fast feedback cycles. Discrete & Continuous Dynamical Systems - S, 2021, 14 (1) : 177-203. doi: 10.3934/dcdss.2020344 |
[2] |
Jianfeng Huang, Haihua Liang. Limit cycles of planar system defined by the sum of two quasi-homogeneous vector fields. Discrete & Continuous Dynamical Systems - B, 2021, 26 (2) : 861-873. doi: 10.3934/dcdsb.2020145 |
[3] |
George W. Patrick. The geometry of convergence in numerical analysis. Journal of Computational Dynamics, 2021, 8 (1) : 33-58. doi: 10.3934/jcd.2021003 |
[4] |
Min Chen, Olivier Goubet, Shenghao Li. Mathematical analysis of bump to bucket problem. Communications on Pure & Applied Analysis, 2020, 19 (12) : 5567-5580. doi: 10.3934/cpaa.2020251 |
[5] |
Qianqian Han, Xiao-Song Yang. Qualitative analysis of a generalized Nosé-Hoover oscillator. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2020346 |
[6] |
Laurence Cherfils, Stefania Gatti, Alain Miranville, Rémy Guillevin. Analysis of a model for tumor growth and lactate exchanges in a glioma. Discrete & Continuous Dynamical Systems - S, 2020 doi: 10.3934/dcdss.2020457 |
[7] |
Vieri Benci, Sunra Mosconi, Marco Squassina. Preface: Applications of mathematical analysis to problems in theoretical physics. Discrete & Continuous Dynamical Systems - S, 2020 doi: 10.3934/dcdss.2020446 |
[8] |
Thomas Y. Hou, Dong Liang. Multiscale analysis for convection dominated transport equations. Discrete & Continuous Dynamical Systems - A, 2009, 23 (1&2) : 281-298. doi: 10.3934/dcds.2009.23.281 |
[9] |
Nahed Naceur, Nour Eddine Alaa, Moez Khenissi, Jean R. Roche. Theoretical and numerical analysis of a class of quasilinear elliptic equations. Discrete & Continuous Dynamical Systems - S, 2021, 14 (2) : 723-743. doi: 10.3934/dcdss.2020354 |
[10] |
Mohamed Dellal, Bachir Bar. Global analysis of a model of competition in the chemostat with internal inhibitor. Discrete & Continuous Dynamical Systems - B, 2021, 26 (2) : 1129-1148. doi: 10.3934/dcdsb.2020156 |
[11] |
Yining Cao, Chuck Jia, Roger Temam, Joseph Tribbia. Mathematical analysis of a cloud resolving model including the ice microphysics. Discrete & Continuous Dynamical Systems - A, 2021, 41 (1) : 131-167. doi: 10.3934/dcds.2020219 |
[12] |
Xin Guo, Lei Shi. Preface of the special issue on analysis in data science: Methods and applications. Mathematical Foundations of Computing, 2020, 3 (4) : i-ii. doi: 10.3934/mfc.2020026 |
[13] |
Martin Kalousek, Joshua Kortum, Anja Schlömerkemper. Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity. Discrete & Continuous Dynamical Systems - S, 2021, 14 (1) : 17-39. doi: 10.3934/dcdss.2020331 |
[14] |
Feifei Cheng, Ji Li. Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay. Discrete & Continuous Dynamical Systems - A, 2021, 41 (2) : 967-985. doi: 10.3934/dcds.2020305 |
[15] |
Illés Horváth, Kristóf Attila Horváth, Péter Kovács, Miklós Telek. Mean-field analysis of a scaling MAC radio protocol. Journal of Industrial & Management Optimization, 2021, 17 (1) : 279-297. doi: 10.3934/jimo.2019111 |
[16] |
Wen Li, Wei-Hui Liu, Seak Weng Vong. Perron vector analysis for irreducible nonnegative tensors and its applications. Journal of Industrial & Management Optimization, 2021, 17 (1) : 29-50. doi: 10.3934/jimo.2019097 |
[17] |
Adrian Viorel, Cristian D. Alecsa, Titus O. Pinţa. Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems. Discrete & Continuous Dynamical Systems - A, 2020 doi: 10.3934/dcds.2020407 |
[18] |
Sarra Nouaoura, Radhouane Fekih-Salem, Nahla Abdellatif, Tewfik Sari. Mathematical analysis of a three-tiered food-web in the chemostat. Discrete & Continuous Dynamical Systems - B, 2020 doi: 10.3934/dcdsb.2020369 |
[19] |
Ningyu Sha, Lei Shi, Ming Yan. Fast algorithms for robust principal component analysis with an upper bound on the rank. Inverse Problems & Imaging, 2021, 15 (1) : 109-128. doi: 10.3934/ipi.2020067 |
[20] |
Do Lan. Regularity and stability analysis for semilinear generalized Rayleigh-Stokes equations. Evolution Equations & Control Theory, 2021 doi: 10.3934/eect.2021002 |
2019 Impact Factor: 1.338
Tools
Metrics
Other articles
by authors
[Back to Top]