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.
TY - 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 . .
