On Controlled Variational Inequalities Involving Convex Functionals

  • Savin TreanţăEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 991)


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.


Controlled variational inequality Weak sharp solution Convex path-independent curvilinear integral functional 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Applied MathematicsUniversity Politehnica of BucharestBucharestRomania

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