Efficiency conditions in vector control problems governed by multiple integrals

In this paper, we formulate and prove necessary and sufficient optimality conditions in multiobjective control problems which involve multiple integrals. Under ( ρ , b ) -quasiinvexity assumptions, sufficient efficiency conditions for a feasible solution are derived.

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Bibliographic Details
Published in:Journal of applied mathematics & computing 2018-06, Vol.57 (1-2), p.647-665
Main Authors: Mititelu, Ştefan, Treanţă, Savin
Format: Article
Language:English
Subjects:
Applied mathematics
Computational Mathematics and Numerical Analysis
Cybernetics
Integrals
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Multiple objective analysis
Original Research
Theory of Computation
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Description
Summary:In this paper, we formulate and prove necessary and sufficient optimality conditions in multiobjective control problems which involve multiple integrals. Under ( ρ , b ) -quasiinvexity assumptions, sufficient efficiency conditions for a feasible solution are derived.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-017-1126-z