You are here

On Optimality Conditions for a Convex Optimization Problem with Polyhedral Discrete Inclusions

Journal Name:

Publication Year:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this paper, using by the concept of locally dual mapping, the optimality conditions for solution of a convex optimization problem are deter- mined. Speci¯cally, the sets and the inclusions in the considered problem are polyhedral. Furthermore, the problem is given by a discrete inclusions system with discrete time. The polyhedral discrete inclusions in the problem are de¯ned by a set-valued map.
109-118

JEL Codes:

REFERENCES

References: 

[1] Aubin, J.P. and Frankowska, H., Set-valued Analysis, Birkhauser, Boston, 1990.
[2] Dahl, G., An Introduction to Convexity, Polyhedral Theory and Combinatorial Optimization, Kom-
pendium 67 in 330, University of Oslo Department of Informatics, Oslo, (1997).
[3] Mahmudov, E.N. [Makhmudov, E.N.], Optimization of discrete inclusions with distributed parame-
ters , Optimization 21, 197-207, Berlin (1990).
[4] Mahmudov, E.N., Necessary and Su±cient Conditions for discrete and di®erential inclusions of
elliptic type, J. Math. Anal. Appl., 323, 768-789 (2006).
[5] Mahmudov, E.N., Locally adjoint mappings and optimization of the ¯rst boundary value problem
for hyperbolic type discrete and di®erential inclusions, Nonlinear Analysis: Theory, Methods &
Applications, 67-10, 2966-2981 (2007).
[6] Makarov, V.L. and Rubinov, A.M., The Mathematical Theory of Economic Dynamics and Equilib-
rium , Nauka , Moscow ,1973, English transl., Springer-Verlay ,Berlin, (1977).
[7] Mordukhovich, B., Variational Analysis and Generalized Di®erentiation, I: Basic Theory; II: Appli-
cations,Grundlehren Series (Fundamental Principles of Mathematical Sciences), Vol. 330 and 331,
Springer, (2006).
[8] Pshenichnyi, B.N., Convex Analysis and Extremal Problems, Nauka , Moscow, (1980) (Russian).
[9] Rockafellar, R.T., Convex Analysis, Princeton University Press, New Jersey, (1970).

Thank you for copying data from http://www.arastirmax.com