RELAXED MANGASARIAN-FROMOVITZ CONSTRAINT QUALIFICATION AND ITS APPLICATIONS
Abstract
About the Authors
S. V. AktanarovichBelarus
S. A. Bogdanov
Belarus
A. E. Leschov
Belarus
L. I. Minchenko
Belarus
References
1. Mangasarian, O.L., Fromovitz, S. // Mathematical Analysis and Appl. 1967. №17. P. 37-47.
2. Janin R. // Mathematical Programming Study. 1984. № 21. P. 110-126.
3. Minchenko L., Stakhovski S. // Optimization. 2011. № 60 (4). P. 429-440.
4. Minchenko L., Stakhovski S. // SIAM Journal on Optimization. 2011. № 21 (1). P. 314-332.
5. Bertsekas D.P. Convex analysis and optimization. Athens, 2003.
6. Федоров В.В. Численные методы максимина. М., 1979.
7. Ioffe A.D. Regular points of Lipschitz functions. // Transactions of American Mathematical Society.
8. Luderer B., Minchenko L., Satsura T. Multivalued analysis and nonlinear programming problems with perturbations. Dordrecht/Boston/London, 2002.
9. Minchenko L., Tarakanov A. // Optimization Theory and Appl. 2011. № 148. P. 571-579.
10. Andreani R., Martinez J.M., Schverdt M.L. // Optimization Theory and Appl. 2005. №125. P.473-485.
11. Qi L., Wei A. // SIAM Journal on Optimization. 2000. № 10 (4). P. 963-981.
12. Andreani R., Haeser G., Schuverdt M.L., et. al. // Mathematical Programming, Ser. A 135. 2012. P. 255-273.
13. Shu Lu. // Mathematical Programming. 2009. №126 (2). P. 365-392.
14. Shu Lu. Relation between the constant rank and the relaxed constant rank constraint qualifications // Optimization, 2010. DOI:10.1080/02331934.2010.527972.
15. Solodov M.V. Wiley Encyclopedia of Operations Research and Management Science, chapter Constraint Qualifications. NJ, USA, 2011.
16. Минченко Л.И., Стаховский С.М. // Докл. БГУИР. 2010. №8. С. 104-109.
17. R.Andreani, G. Haeser, M.L.Schuverdt, et. al. Two new weak constraint qualifications and applications // Optimization Online Preprint, 2011-07-3105.
Review
For citations:
Aktanarovich S.V., Bogdanov S.A., Leschov A.E., Minchenko L.I. RELAXED MANGASARIAN-FROMOVITZ CONSTRAINT QUALIFICATION AND ITS APPLICATIONS. Doklady BGUIR. 2013;(2):5-9. (In Russ.)