NEW BIFURCATION THEOREMS VIA THE SECOND-ORDER OPTIMALITY CONDITIONS ArticleArutyunov A.V., Izmailov A.F., Jaćimović V.Journal of Mathematical Analysis and Applications. Том 359. 2009. С. 752-764
MINIMUM OF A FUNCTIONAL IN A METRIC SPACE AND FIXED POINTS ArticleArutyunov A.V., Gel'man B.D.Computational Mathematics and Mathematical Physics. Том 49. 2009. С. 1111-1118
STABILITY OF COINCIDENCE POINTS AND SET-VALUED COVERING MAPS IN METRIC SPACES ArticleArutyunov A.V.Doklady Mathematics. Том 80. 2009. С. 555-557
NECESSARY OPTIMALITY CONDITIONS FOR CONSTRAINED OPTIMIZATION PROBLEMS UNDER RELAXED CONSTRAINT QUALIFICATIONS ArticleArutyunov A.V., Avakov E.R., Izmailov A.F.Mathematical Programming. Том 114. 2008. С. 37-68
EXACT PENALTIES FOR OPTIMIZATION PROBLEMS WITH 2-REGULAR EQUALITY CONSTRAINTS ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Computational Mathematics and Mathematical Physics. Том 48. 2008. С. 346-353
NONNEGATIVITY OF QUADRATIC FORMS ON INTERSECTIONS OF QUADRICS AND QUADRATIC MAPS ArticleArutyunov A.V.Mathematical Notes. Том 84. 2008. С. 155-165
NECESSARY CONDITIONS FOR AN EXTREMUM IN A MATHEMATICAL PROGRAMMING PROBLEM ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Proceedings of the Steklov Institute of Mathematics. Том 256. 2007. С. 2-25
NECESSARY OPTIMALITY CONDITIONS FOR ABNORMAL PROBLEMS WITH GEOMETRIC CONSTRAINTS ArticleArutyunov A.V., Karamzin D.Yu.Computational Mathematics and Mathematical Physics. Том 47. 2007. С. 349-360
DIRECTIONAL REGULARITY AND METRIC REGULARITY ArticleArutyunov A.V., Avakov E.R., Izmailov A.F.SIAM Journal on Optimization. Том 18. 2007. С. 810-833
COVERING MAPPINGS IN METRIC SPACES AND FIXED POINTS ArticleArutyunov A.V.Doklady Mathematics. Том 76. 2007. С. 665-668
NECESSARY OPTIMALITY CONDITIONS IN AN ABNORMAL OPTIMIZATION PROBLEM WITH EQUALITY CONSTRAINTS ArticleArutyunov A.V., Karamzin D.Yu.Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 1293-1298
DIRECTIONAL METRIC REGULARITY OF MAPPINGS AND STABILITY THEOREMS ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Doklady Mathematics. Том 74. 2006. С. 473-476
NECESSARY CONDITIONS FOR AN EXTREMUM IN 2-REGULAR PROBLEMS ArticleAvakov E.R., Arutyunov A.V., Izmailov A.F.Doklady Mathematics. Том 73. 2006. С. 340-343
DIRECTIONAL STABILITY THEOREM AND DIRECTIONAL METRIC REGULARITY ArticleArutyunov A.V., Izmailov A.F.Mathematics of Operations Research. Том 31. 2006. С. 526-543
ON THE CONSISTENCY OF LINEAR AND QUADRATIC SYSTEMS ArticleArutyunov A.V., Kruglova E.V.Computational Mathematics and Mathematical Physics. Том 46. 2006. С. 537-540