Results 31 to 40 of about 291 (69)

Optimization of Lagrange problem with higher-order differential inclusion and special boundary-value conditions

Demonstratio Mathematica
This article concerns about optimality conditions for boundary-value problems related to differential inclusions (DFIs) of higher orders. We intend to attain optimality conditions when a general Lagrange functional takes place in the cost function ...
Yıldırım Uğur, Mastaliyeva Dilara I., Mahmudov Elimhan N.   +2 more
doaj   +1 more source

Strong duality in conic linear programming: facial reduction and extended duals

, 2013
The facial reduction algorithm of Borwein and Wolkowicz and the extended dual of Ramana provide a strong dual for the conic linear program $$ (P) \sup { | Ax \leq_K b} $$ in the absence of any constraint qualification.
A. Ben-Tal, A.S. Lewis, C.-B. Chua, C.-B. Chua, E.D. Andersen, F. Alizadeh, F.J. Bonnans, G. Pataki, G. Pataki, G. Pataki, I. Pólik, J.M. Borwein, J.M. Borwein, Jos Sturm, L. Faybusovich, L. Tunçel, M.J. Todd, M.V. Ramana, M.V. Ramana, S. Boyd, S.P. Schurr, T.R. Rockafellar, V. Cheung, Y. Wang, Z.-Q. Luo   +24 more
core   +1 more source

Duality in Constrained DC-Optimization via Toland’s Duality Approach [PDF]

, 2003
2000 Mathematics Subject Classification: 90C48, 49N15, 90C25In this paper we reconsider a nonconvex duality theory established by B. Lemaire and M. Volle (see [4]), related to a primal problem of minimizing the difference of two convex functions subject ...
Benkenza, N., Laghdir, M.
core  

On Lagrangian Duality in Vector Optimization. Applications to the linear case. [PDF]

The paper deals with vector constrained extremum problems. A separation scheme is recalled; starting from it, a vector Lagrangian duality theory is developed. The linear duality due to Isermann can be embedded in this separation approach.
Elisa Pagani
core  

New duality results for evenly convex optimization problems. [PDF]

Optimization, 2021
Fajardo MD, Grad SM, Vidal J.
europepmc   +1 more source

Multivariate utility maximization with proportional transaction costs and random endowment [PDF]

In this paper we deal with a utility maximization problem at finite horizon on a continuous-time market with conical (and time varying) constraints (particularly suited to model a currency market with proportional transaction costs).
Giuseppe Benedetti, Luciano Campi
core  

Employing different loss functions for the classification of images via supervised learning

Open Mathematics, 2014
Boţ Radu, Heinrich André, Wanka Gert
doaj   +1 more source

Convex duality and uniqueness for BV-minimizers

, 2015
Lisa Beck, Thomas Schmidt
semanticscholar   +1 more source

Revisiting the construction of gap functions for variational inequalities and equilibrium problems via conjugate duality

Open Mathematics, 2013
Cioban Liana, Csetnek Ernö
doaj   +1 more source

Duality in nonlinear programming problems under fuzzy environment with exponential membership functions. [PDF]

J Inequal Appl, 2018
Gupta SK, Dangar D, Ahmad I, Al-Homidan S.   +3 more
europepmc   +1 more source