Abstract
In this paper, by using several variational techniques and a dual gap-type functional, we study weak sharp solutions associated with a controlled variational inequality governed by convex path-independent curvilinear integral functional. Also, under some hypotheses, we establish an equivalence between the minimum principle sufficiency property and weak sharpness for a solution set of the considered controlled variational inequality.
Supported by University Politehnica of Bucharest, Bucharest, Romania (Grant No. MA51-18-01).
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Treanţă, S. (2020). On Controlled Variational Inequalities Involving Convex Functionals. In: Le Thi, H., Le, H., Pham Dinh, T. (eds) Optimization of Complex Systems: Theory, Models, Algorithms and Applications. WCGO 2019. Advances in Intelligent Systems and Computing, vol 991. Springer, Cham. https://doi.org/10.1007/978-3-030-21803-4_17
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DOI: https://doi.org/10.1007/978-3-030-21803-4_17
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