@article{Treanţă2025, 
author = {Savin Treanţă and Marilena Ciontescu},
title = {On multiple-cost optimization and extended controlled vector inequalities},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {11},
pages = {7085-7102},
keywords = {multiple-cost optimization, control inequalities, convexity, efficient point, preconvexity},
url = {https://www.sciopen.com/article/10.3934/era.2025313},
doi = {10.3934/era.2025313},
abstract = {In this study, we established several relations between generalized (weak) vector controlled inequalities of Minty and Stampacchia type and the associated multi-cost models. To this end, we introduced the updated concepts of preconvexity and (strictly) strong convexity for functionals governed by controlled simple integrals and a mean-value-type result. Also, we introduced the corresponding multiobjective extremization models. The theoretical notions and the main results were justified by suitable numerical examples that were non-trivial.}
}