Theorems of the Alternative for Systems of Convex Inequalities
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2019
Članak u časopisu (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
Systems of convex inequalities in function spaces are considered. Solvability conditions are obtained in the form of a theorem of the alternative. We revisit some results from the literature where such theorems are incorrect. We present counterexamples concerning these results and by introducing some regularity conditions we obtain new theorems which are dedicated to solvability of systems of convex inequalities.
Ključne reči:
Theorem of the alternative / Solvability conditions / Systems of convex inequalitiesIzvor:
Set-Valued and Variational Analysis, 2019, 27, 1, 51-70Izdavač:
- Springer, Dordrecht
Finansiranje / projekti:
- Ministry of Education and Science of the Russian FederationMinistry of Education and Science, Russian Federation [02.a03.21.0008, 1.962.2017]
- Russian FederationRussian Federation [NSh-8215.2016.1, MK-2085.2017.1]
DOI: 10.1007/s11228-017-0406-y
ISSN: 1877-0533
WoS: 000459828000003
Scopus: 2-s2.0-85062156720
Institucija/grupa
Tehnološko-metalurški fakultetTY - JOUR AU - Arutyunov, Aram V. AU - Zhukovskiy, Sergey E. AU - Marinković, Boban PY - 2019 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/4192 AB - Systems of convex inequalities in function spaces are considered. Solvability conditions are obtained in the form of a theorem of the alternative. We revisit some results from the literature where such theorems are incorrect. We present counterexamples concerning these results and by introducing some regularity conditions we obtain new theorems which are dedicated to solvability of systems of convex inequalities. PB - Springer, Dordrecht T2 - Set-Valued and Variational Analysis T1 - Theorems of the Alternative for Systems of Convex Inequalities EP - 70 IS - 1 SP - 51 VL - 27 DO - 10.1007/s11228-017-0406-y ER -
@article{ author = "Arutyunov, Aram V. and Zhukovskiy, Sergey E. and Marinković, Boban", year = "2019", abstract = "Systems of convex inequalities in function spaces are considered. Solvability conditions are obtained in the form of a theorem of the alternative. We revisit some results from the literature where such theorems are incorrect. We present counterexamples concerning these results and by introducing some regularity conditions we obtain new theorems which are dedicated to solvability of systems of convex inequalities.", publisher = "Springer, Dordrecht", journal = "Set-Valued and Variational Analysis", title = "Theorems of the Alternative for Systems of Convex Inequalities", pages = "70-51", number = "1", volume = "27", doi = "10.1007/s11228-017-0406-y" }
Arutyunov, A. V., Zhukovskiy, S. E.,& Marinković, B.. (2019). Theorems of the Alternative for Systems of Convex Inequalities. in Set-Valued and Variational Analysis Springer, Dordrecht., 27(1), 51-70. https://doi.org/10.1007/s11228-017-0406-y
Arutyunov AV, Zhukovskiy SE, Marinković B. Theorems of the Alternative for Systems of Convex Inequalities. in Set-Valued and Variational Analysis. 2019;27(1):51-70. doi:10.1007/s11228-017-0406-y .
Arutyunov, Aram V., Zhukovskiy, Sergey E., Marinković, Boban, "Theorems of the Alternative for Systems of Convex Inequalities" in Set-Valued and Variational Analysis, 27, no. 1 (2019):51-70, https://doi.org/10.1007/s11228-017-0406-y . .