Implicit function and tangent cone theorems for singular inclusions and applications to nonlinear programming
Author:
Funder
Ministerstwo Nauki i Szkolnictwa Wyższego
Russian Foundation for Basic Research
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization
Link
http://link.springer.com/content/pdf/10.1007/s11590-018-1347-6.pdf
Reference27 articles.
1. Artacho, F.J.A., Mordukhovich, B.S.: Metric regularity and Lipschitzian stability of parametric variational systems. Nonlinear Anal. Theory Methods Appl. 72, 1149–1170 (2010)
2. Avakov, E.R., Magaril-Il’yaev, G.G.: An implicit-function theorem for inclusions. Math. Notes 91(6), 764–769 (2012)
3. Brezhneva, O.A., Tret’yakov, A.A.: Optimality conditions for degenerate extremum problems with equality constraints. SIAM J. Control Optim. 42(2), 729–745 (2003)
4. Brezhneva, O.A., Evtushenko, YuG, Tret’yakov, A.A.: The 2-factor-method with a modified lagrange function for degenerate constrained optimization problems. Dokl. Math. 73(3), 384–387 (2006)
5. Brezhneva, O.A., Evtushenko, YuG, Tret’yakov, A.A.: The p-regularity theory and Poincaré’s small parameter method. Dokl. Math. 74(3), 869–873 (2006)
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