Duality for multiobjective variational control and multiobjective fractional variational control problems with pseudoinvexity.
Nahak, C. (2006)
Journal of Applied Mathematics and Stochastic Analysis
Wanka, G., Krallert, U. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Laghdir, M., Benkenza, N. (2003)
Serdica Mathematical Journal
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 to a DC-constraint. The purpose of this note is to present a new method based on Toland-Singer duality principle. Applications to the case when the constraints are vector-valued are provided.
Song Wen (1998)
Tran Quoc Chien (1984)
Kybernetika
Tran Quoc Chien (1984)
Kybernetika
Tran Quoc Chien (1984)
Kybernetika
Zalmai, G. J. (2003)
International Journal of Mathematics and Mathematical Sciences
Halická, M., Hamala, M. (1996)
Acta Mathematica Universitatis Comenianae. New Series
C. Zalinescu (2009)
RACSAM
Saxena, P.C. (1978)
Portugaliae mathematica
Shyam S. Chadha (1988)
Trabajos de Investigación Operativa
Duality of linear programming is used to establish an important duality theorem for a class of non-linear programming problems. Primal problem has quasimonotonic objective function and a convex polyhedron as its constraint set.
S. T. Rachev, R. M. (1990)
Jiří V. Outrata, Jiří Jarušek (1984)
Kybernetika
Nobakhtian, S. (2006)
International Journal of Mathematics and Mathematical Sciences
Scott, Carlton H., Jefferson, Thomas R., Jorjani, Soheila (2004)
Journal of Applied Mathematics and Decision Sciences
M. Hintermüller, R. H. W. Hoppe, C. Löbhard (2014)
ESAIM: Control, Optimisation and Calculus of Variations
A dual-weighted residual approach for goal-oriented adaptive finite elements for a class of optimal control problems for elliptic variational inequalities is studied. The development is based on the concept of C-stationarity. The overall error representation depends on primal residuals weighted by approximate dual quantities and vice versa as well as various complementarity mismatch errors. Also, a priori bounds for C-stationary points and associated multipliers are derived. Details on the numerical...
Margaréta Halická (2004)
Pokroky matematiky, fyziky a astronomie
Bregman, Lev M., Censor, Yair, Reich, Simeon (1999)
Journal of Convex Analysis
Edgar A. Portilla-Flores, Maria B. Calva-Yáñez, Miguel G. Villarreal-Cervantes, Paola A. Niño Suárez, Gabriel Sepúlveda-Cervantes (2014)
Kybernetika
This paper presents a dynamic approach to the synthesis of a crank-rocker four-bar mechanism, that is obtained by an optimization problem and its solution using the swarm intelligence algorithm called Modified-Artificial Bee Colony (M-ABC). The proposed dynamic approach states a mono-objective dynamic optimization problem (MODOP), in order to obtain a set of optimal parameters of the system. In this MODOP, the kinematic and dynamic models of the whole system are consider as well as a set of constraints...