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NECESSARY AND SUFFICIENT CONDITIONS FOR OPTIMALITY IN DISCRETE INCLUSIONS DESCRIBED BY CONVEX MULTIVALUED MAPPINGS AND DUALITY

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2004-2005

Key Words:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
Necessary and sufficient conditions of optimality for convex case are deduced for the considered optimization problem (PM) with discrete inclusions on the basis of the apparatus of locally conjugate mappings for convex compositions and the cones of tangent directions. Then duality problem (PD)
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FULL TEXT (PDF): 
PDF icon arastrmx_190866_1_pp_105-114.pdf
105-114
  • English

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REFERENCES

References: 

[1] B.N. PSHENICHNYI, Convex Analysis and Extremal Problems, Nauka, Moscow, 1980.
[2] A.M. RUBINOV, Superlinear Multivalued Mappings and Their Applications to Problems in Mathematical Economics, Nauka, Leningrad, 1980.
[3] R.T. ROCKAFELLAR, Convex Analysis, Princeton University Press, New Jersey, 1972.
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[4] E.N. MAHMUDOV, Optimization of Discrete Inclusions with Distributed Parameters, Akademie-Verlag Berlin, Optimization 21(1990)2,197-207.
[5] E.N. MAHMUDOV, On duality in optimal control problems described by discrete and differential inclusions, Automática i Telemekhanika 2(1987), Moscow,13-25.
[6] E.N. MAHMUDOV, Polyhedral optimization problems for discrete and differential inclusions and duality, Cybernetics 3(1988), Kiev,45-52.

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