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Yugoslav Journal of Operations Research, ISSN 0354-0243, 2018, Volume 28, Issue 1, pp. 59 - 77
We study the existence of equilibrium price vector in a supply-demand model taking into account the transaction costs associated with the sale of products. In... 
Transaction Costs | Demand Function | Covering Mappings | Economic Equilibrium | Coincidence Points | Supply Function | supply function | transaction costs | coincidence points | demand function | covering mappings | economic equilibrium
Journal Article
Journal of optimization theory and applications, ISSN 1573-2878, 2018, Volume 180, Issue 1, pp. 48 - 61
Journal Article
Set-Valued and Variational Analysis, ISSN 1877-0533, 3/2019, Volume 27, Issue 1, pp. 51 - 70
Systems of convex inequalities in function spaces are considered. Solvability conditions are obtained in the form of a theorem of the alternative. We revisit... 
90C25 | Analysis | Mathematics | Solvability conditions | 47N10 | Theorem of the alternative | Systems of convex inequalities | Optimization | MATHEMATICS, APPLIED | OPTIMALITY CONDITIONS
Journal Article
Set-Valued and Variational Analysis, ISSN 1877-0533, 3/2015, Volume 23, Issue 1, pp. 23 - 41
...Set-Valued Var. Anal (2015) 23:23–41 DOI 10.1007/s11228-014-0303-6 Continuous Dependence of Coincidence Points on a Parameter Aram Arutyunov · Sergey... 
Geometry | Analysis | 34A34 | Coincidence points | Covering mappings | Implicit function theorem | Mathematics | 54H25 | MATHEMATICS, APPLIED | METRIC-SPACES | MAPS | MAPPINGS
Journal Article
Lecture Notes in Electrical Engineering, ISSN 1876-1100, 2015, Volume 321, pp. 23 - 28
Conference Proceeding
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, ISSN 0022-3239, 03/2020, Volume 184, Issue 3, pp. 697 - 723
... for State-Constrained Optimal Control Problems and the Non-degenerate Maximum Principle Aram Arutyunov1 · Dmitry Karamzin2 Received: 19 April 2019 / Accepted: 28... 
MATHEMATICS, APPLIED | APPROXIMATIONS | TRAJECTORIES | LAGRANGE MULTIPLIER | Maximum principle | SWEEPING PROCESSES | LIPSCHITZ CONTINUITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | NORMALITY | Optimal control | State constraints | Regularity conditions | EULER-LAGRANGE | Stability | Production planning | Controllability | Normality | Regularity
Journal Article
SIAM journal on optimization, ISSN 1052-6234, 01/2020, Volume 30, Issue 1, pp. 604 - 629
Journal Article
2019, ISBN 9783030022594, 197
eBook
Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 6/2015, Volume 17, Issue 2, pp. 331 - 340
In this paper, we present a theorem on a coincidence point for a pair of h-upper semicontinuous multivalued maps with convex closed values in a... 
approximation | Mathematics | multivalued inequality | Mathematical Methods in Physics | Multivalued map | 47H11 | 47J20 | coincidence point | fixed point | Analysis | Mathematics, general | 47J05 | Primary 47H10 | Secondary 47H04 | MATHEMATICS | MATHEMATICS, APPLIED | MULTIFUNCTIONS | CONTINUOUS APPROXIMATIONS
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2007, Volume 18, Issue 3, pp. 810 - 833
...SIAM J. OPTIM. c Vol. 18, No. 3, pp. 810833 DIRECTIONAL REGULARITY AND METRIC REGULARITY ARAM V. ARUTYUNOV, EVGENIY R. AVAKOV, AND ALEXEY F. IZMAILOV Abstract... 
Sensitivity | Metric regularity | Directional metric regularity | Robinson's constraint qualification | Feasible arc | Directional regularity | directional metric regularity | MATHEMATICS, APPLIED | MULTIFUNCTIONS | metric regularity | STABILITY | feasible arc | sensitivity | OPENNESS | directional regularity
Journal Article
Journal of optimization theory and applications, ISSN 0022-3239, 06/2020, Volume 185, Issue 3, pp. 679 - 699
... Lipschitzian Equations Aram V. Arutyunov1 · Alexey F. Izmailov2 · Sergey E. Zhukovskiy1 Received: 25 September 2019 / Accepted: 24 April 2020 / Published online: 20... 
EXISTENCE | MATHEMATICS, APPLIED | Nonlinear equation | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Inverse function theorem | THEOREM | Locally Lipschitzian mapping | Continuous selection of solutions | Clarke's generalized Jacobian | Hadamard's theorem | Theorems | Mapping | Questions | Topology | Nonlinear analysis
Journal Article
Lecture Notes in Control and Information Sciences, ISSN 0170-8643, 2019, Volume 477, pp. v - vi
Journal Article
SIAM journal on optimization, ISSN 1052-6234, 2019, Volume 29, Issue 2, pp. 994 - 1016
Functions defined on metric spaces are studied. For these functions, a generalized Caristi-like condition is introduced. It is shown that this condition is... 
existence of minima of functions on metric spaces | COINCIDENCE POINTS | MATHEMATICS, APPLIED | DIFFERENTIABILITY | Bishop-Phelps variational principle | Ekeland variational principle | EQUATIONS | SET-VALUED MAPPINGS
Journal Article
SIAM journal on control and optimization, ISSN 1095-7138, 1997, Volume 35, Issue 3, pp. 930 - 952
... OF THE DEGENERACY PHENOMENON OF THE MAXIMUM PRINCIPLE FOR OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS ARAM V. ARUTYUNOV AND SERGEI M. ASEEV Abstract. In this paper we study... 
Degeneracy phenomenon | Maximum principle | Controllability conditions | Optimal control | State constraints | DIFFERENTIAL-INCLUSIONS | MATHEMATICS, APPLIED | ROBOTICS & AUTOMATIC CONTROL | K PN MATHEMATICS, APPLIED | K AC ROBOTICS & AUTOMATIC CONTROL | optimal control | state constraints | maximum principle | degeneracy phenomenon | controllability conditions | PHASE CONSTRAINTS
Journal Article
2018 IEEE Conference on Decision and Control (CDC), 12/2018, pp. 49 - 54
The article is focused on the necessary optimality condition in the form of Pontryagin's maximum principle for state constrained problems. A certain refinement... 
Computer science | Conferences | Optimal control | Process control | Information processing | Trajectory | Physics
Conference Proceeding
2018 13th APCA International Conference on Automatic Control and Soft Computing (CONTROLO), 06/2018, pp. 79 - 84
Conference Proceeding
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