New optimality criteria for convex continuous-time problems of vector optimization
Apstrakt
In this paper, vector continuous-time programming problems with inequality type of constraints are considered. All the results are obtained under convexity assumptions. The main tool employed in the derivation of the zero order optimality conditions is a new version of theorem of the alternative in functional spaces. To apply the alternative theorem, a certain regularity condition must be satisfied. No differentiability assumption is imposed.
Ključne reči:
Continuous-time programming / vector problems / optimality conditionsIzvor:
Optimization, 2022, 71, 15, 4555-4570
DOI: 10.1080/02331934.2021.1950152
ISSN: 0233-1934
WoS: 000671497600001
Scopus: 2-s2.0-85110428929
Institucija/grupa
Tehnološko-metalurški fakultetTY - JOUR AU - Jovic, Aleksandar AU - Marinković, Boban PY - 2022 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/5009 AB - In this paper, vector continuous-time programming problems with inequality type of constraints are considered. All the results are obtained under convexity assumptions. The main tool employed in the derivation of the zero order optimality conditions is a new version of theorem of the alternative in functional spaces. To apply the alternative theorem, a certain regularity condition must be satisfied. No differentiability assumption is imposed. T2 - Optimization T1 - New optimality criteria for convex continuous-time problems of vector optimization EP - 4570 IS - 15 SP - 4555 VL - 71 DO - 10.1080/02331934.2021.1950152 ER -
@article{ author = "Jovic, Aleksandar and Marinković, Boban", year = "2022", abstract = "In this paper, vector continuous-time programming problems with inequality type of constraints are considered. All the results are obtained under convexity assumptions. The main tool employed in the derivation of the zero order optimality conditions is a new version of theorem of the alternative in functional spaces. To apply the alternative theorem, a certain regularity condition must be satisfied. No differentiability assumption is imposed.", journal = "Optimization", title = "New optimality criteria for convex continuous-time problems of vector optimization", pages = "4570-4555", number = "15", volume = "71", doi = "10.1080/02331934.2021.1950152" }
Jovic, A.,& Marinković, B.. (2022). New optimality criteria for convex continuous-time problems of vector optimization. in Optimization, 71(15), 4555-4570. https://doi.org/10.1080/02331934.2021.1950152
Jovic A, Marinković B. New optimality criteria for convex continuous-time problems of vector optimization. in Optimization. 2022;71(15):4555-4570. doi:10.1080/02331934.2021.1950152 .
Jovic, Aleksandar, Marinković, Boban, "New optimality criteria for convex continuous-time problems of vector optimization" in Optimization, 71, no. 15 (2022):4555-4570, https://doi.org/10.1080/02331934.2021.1950152 . .