[1] Aubin, J.P. Mathematical methods of game and economic theory, vol. 7, North-Holland,
Amsterdam, The Netherlands, 1979.
[2] Bai, Y., Migórski, S., Nguyen, V. H. and Peng, J. Existence of solution to a new class
of coupled variational-hemivariational inequalities, J. Nonlinear Var. Anal. 6 (5) (2022),
499–516.
[3] Baiz, O., Benaissa, H., Bouchantouf, R. and Moutawakil, D. Optimization problems for a
thermoelastic frictional contact problem, Math. Model. Anal. 26 (2021), 444–468.
[4] Barbu, V. Optimal control of variational inequalities, Pitman, Boston, 1984.
[5] Browder, F.E. Nonlinear monotone operators and convex sets in Banach spaces, Bull. Amer.
Math. Soc. 71 (1965), 780–785.
[6] Denkowski, Z., Migórski, S. and Papageorgiou, N.S. An Introduction to Nonlinear Analysis:
Applications, Kluwer Academic Publishers, Boston, Dordrecht, London, New York, 2003.
[7] Denkowski, Z., Migórski, S. and Papageorgiou, N.S. An introduction to nonlinear analysis:
Theory, Kluwer Academic Publishers, Boston, Dordrecht, London, New York, 2003.
[8] Friedman, A. Optimal control for variational inequalities, SIAM J. Control Optim. 24 (1986),
439–451.
[9] Han, W. and Sofonea, M. Quasistatic contact problems in viscoelasticity and viscoplastic-
ity, Studies in Advanced Mathematics 30, Americal Mathematical Society, Providence, RI
International Press, Somerville, MA, 2002.
[10] Khan, A. and Sama, M. Optimal control of multivalued quasi variational inequalities, Non-
linear Anal. 75 (2012), 1419–1428.
[11] Lions, J.L. Quelques methodes de resolution des problemes aux limites non lineaires, Dunod,
Paris, 1969.
[12] Lions, J.L. and Stampacchia, G. Variational inequalities, Comm. Pure Appl. Math. 20
(1967), 493–519.
[13] Liu, J., Yang, X., Zeng, S.D. and Zhao, Y. Coupled variational inequalities: existence,
stability and optimal control, J. Optim. Theory Appl. 193 (2022), 877–909.
[14] Mignot, F. and Puel, J.P. Optimal control in some variational inequalities, SIAM J. Control
Optim. 22 (1984), 466–476.
[15] Migórski, S. and Dudek, S. A new class of variational-hemivariational inequalities for steady
Oseen flow with unilateral and frictional type boundary conditions, Z. Angew. Math. Mech.
100 (2020), 1–23.
[16] Migórski, S., Ochal, A. and Sofonea, M. Nonlinear inclusions and hemivariational inequali-
ties. Models and analysis of contact problems, Advances in Mechanics and Mathematics 26,
Springer, New York, 2013.
[17] Migórski, S., Ogorzały, J. and Dudek, S. A new general class of systems of elliptic quasi-
variational–hemivariational inequalities, Commun. Nonlinear Sci. Numer. Simul. 121 (2023),
1–17.
[18] Mosco, U. Convergence of convex sets and of solutions of variational inequalities Adv. Math.
3 (1969), 510–585.
[19] Neitaanmaki, P., Sprekels, J. and Tiba, D. Optimization of elliptic systems: Theory and
applications, Springer Monogr. Math., Springer, New York, 2006.
[20] Shillor, M., Sofonea, M. and Telega, J.J. Models and analysis of quasistatic contact, Lect.
Notes Phys. 655, Springer, Berlin, Heidelberg, 2004.
[21] Sofonea, M., Bollait, J. and Tarzia, D. Optimal control of differential quasivariational in-
equalities with applications in contact mechanics, J. Math. Anal. Appl. 493 (2021), 1–23.
[22] Sofonea, M. and Matei, A. Mathematical models in contact mechanics, London Mathematical
Society Lecture Note Series 398, Cambridge University Press, 2012.
[23] Sofonea, M. and Tarzia, D. Convergence Results for Optimal Control Problems Governed by
Elliptic Quasivariational Inequalities, Numer. Funct. Anal. Optim. 41 (2020), 1326–1351.
[24] Sofonea, M., Xiao, Y.B. and Couderc, M. Optimization problems for elastic contact models
with unilateral constraints, Z. Angew. Math. Phys. 70(1) (2019), 1–17.
[25] Tiba, D. Optimal control of nonsmooth distributed parameter systems, Springer, Berlin,
1990.
[26] Tiba, D. Lectures on the optimal control of elliptic equations, Lecture Notes, vol.32, Univer-
sity of Jyväskylä, Jyväskylä, 1995.
