References
- Milyutin , AA . 2001 . Maximum Principle for General Optimal Control Problem , Moscow : Fizmatlit . (in Russian)
- Avakov , ER . 1985 . Extremum conditions for smooth problems with equality-type constraints . USSR Comput. Math. Math. Phys. , 25 : 24 – 32 .
- Arutyunov , AV . 2005 . Covering of nonlinear maps on a cone in neighborhoods of irregular points . Math. Notes , 77 ( 4 ) : 447 – 460 .
- Avakov , ER . 1989 . Necessary extremum conditions for smooth abnormal problems with equality- and inequality constraints . Math. Notes. , 45 : 431 – 437 .
- Avakov , ER . 1990 . Theorems on estimates in the neighborhood of a singular point of a mapping . Math. Notes , 47 : 425 – 432 .
- Arutyunov , AV . 2006 . Implicit function theorem without a priori assumptions about normality . Comput. Math. Math. Phys. , 46 ( 2 ) : 195 – 205 . (English translation)
- Arutyunov , AV , Avakov , ER and Izmailov , AF . 2008 . Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications . Math. Progam. Ser. A , 114 : 37 – 68 .
- Ledzewicz , U and Schättler , H . 1998 . High-order approximations and generalized necessary conditions for optimality . SIAM J. Control Optim. , 37 : 33 – 53 .
- Sussmann , HJ . 2003 . High-order Open Mapping Theorems, Directions in Mathematical Systems Theory and Optimization , 293 – 316 . Berlin, Heidelberg : Springer-Verlag .
- Warga , J . 1972 . Optimal Control of Differential and Functional Equations , New York : Academic Press .
- Arutyunov , AV . 2007 . Covering mappings in metric spaces and fixed points . Dokl. Math. , 76 ( 2 ) : 665 – 668 .
- Mordukhovich , BS . 2005 . Variational Analysis and Generalized Differentiation , Vol. 1 , New York : Springer .
- Mordukhovich , BS . 1988 . Approximation Methods in Problems of Optimization and Control , Moscow : Nauka . (in Russian)
- Arutyunov , A , Avakov , E , Gel'man , B , Dmitruk , A and Obukhovskii , V . 2009 . Locally covering maps in metric spaces and coincidence points . J. Fixed Points Theory Appl. , 5 ( 1 ) : 106 – 127 .
- Olech , C . 1975 . Existence of solutions of non-convex orientor fields . Boll. Un. Mat. Ital. (4) , 11 ( 3 ) : 189 – 197 .