References
- Stampacchia G. Variational inequalities. In: Theory and Application of Monotone Operators, Proceedings of the NATO Advanced Study Institute, Venice, Itlay (Edizioni Odersi, Gubbio, Italy, 1968) p. 102–192.
- Panagiotopoulos PD. Hemivariational inequalities, applications in mechanics and engineering. Berlin: Springer-Verlag; 1993.
- Mig o´rski S, Ochal A, Sofonea M. Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems. New York: Springer; 2013. (In: Advances in Mechanics and Mathematics; vol.26).
- Clarke FH. Optimization and nonsmooth analysis. New York: Wiley; 1983.
- Lee BS, Salahuddin, Solutions for general class of hemivariational like inequality systems. J Nonlinear Convex Anal. 2015;16(1):141–150.
- Naniewicz Z, Panagiotopoulos PD. Mathematical theory of hemivariational inequalities and applications. New York: Marcel Dekker; 1995.
- Salahuddin, Alesemi M. Iteration complexity of generalized complementarity problems. J Inequal Appl. 2019;2019:79):1–13.
- Han W, Migrski S, Sofonea M. A class of variational-hemivariational inequalities with applications to frictional contact problems. SIAM J Math Anal. 2014;46:3891–3912.
- Zeng B, Migrski S. Variational-hemivariational inverse problems for unilateral frictional contact. Appl Anal. 2020;99(2):293–312.
- Chang SS, Salahuddin, Wang L, et al. Well-posedness for generalized (η,g,φ)-mixed vector variational-type inequality and optimization problems. J Inequal Appl. 2019;2019(238):1–16.
- Barabasz B, Gajda-Zagorska E, Migrski S. A hybrid algorithm for solving inverse problems in elasticity. Int J Appl Math Comput Sci. 2014;24:865–886.
- Hintermller M. Inverse coefficient problems for variational inequalities: optimality conditions and numerical realization. Numer Anal. 2001;35:129–152.
- Kim JK, Salahuddin, Hyun HG. Well-posedness for parametric generalized vector equilibrium problems. Far East J Math Sci. 2017;101(10):245–269.
- Manservisi S, Gunzburger M. A variational inequality formulation of an inverse elasticity problem. Appl Numer Math. 2000;34:99–126.
- Lee BS, Salahuddin. Minty lemma for inverted vector variational inequalities. Optimization. 2017;66(3):351–359.
- Migrski S. Identification of nonlinear heat transfer laws in problems modeled by hemivariational inequalities. In: Tanaka, M, Dulikravich, GS, editors. Inverse problems in engineering mechanics. Amsterdam: Elsevier; 1998. p. 513–519.
- Migrski S. Identification coefficient problems for elliptic hemivariational inequalities and applications. In: Tanaka, M, Dulikravich, GS, editors. Vol. 11, Inverse problems in engineering mechanics II. Amsterdam: Elsevier; 2000. p. 229–242.
- Migrski S. Homogenization technique in inverse problems for boundary hemivariational inequalities. Inverse Probl Eng. 2003;11:229–242.
- Migrski S, Ochal A. Inverse coefficient problem for elliptic hemivariational inequality. In: Gao, DY, Ogden RW, Stavroulakis GE, editors. Chapter 11, Nonsmooth/nonconvex mechanics, modeling, analysis and numerical methods. Dordrecht: Kluwer Academic Publishers; 2001. p. 247–261.
- Kim JK, Dar AH, Salahuddin. Existence solution for the generalized relaxed pseudomonotone variational inequalities. Nonlinear Funct Anal Appl. 2020;25(1):25–34.
- Le VK. A range and existence theorem for pseudomonotone perturbations of maximal monotone operators. Proc Amer Math Soc. 2011;139:1645–1658.
- Kim JK, Salahuddin, Sim JY. New system of a parametric general regularized nonconvex variational inequalities in Banach spaces. Global J Pure Appl Math. 2016;12(2):1853–1871.
- Hussain S, Khan MF, Salahuddin. On parametric generalized multivalued co-variational inequalities in Banach spaces. South East Asian J Math Math Sci. 2008;7(1):19–33.
- Migrski S. Sensitivity analysis of inverse problems with applications to nonlinear systems. Dyn Syst Appl. 1999;8:73–89.
- Peng Z, Ma C, Liu Z. Existence for a quasistatic variational-hemivariational inequality. Evol Equat Cont Theory. 2020;9(4):1153–1165.
- Bin M, Liu Z. On the bang-bang principle for nonlinear evolution hemivariational inequalities control systems. J Math Anal Appl. 2019;480:1–21. 123364.
- Zeng S, Migrski S, Liu Z, et al.Convergence of a generalized penalty method for variational-hemivariational inequalities. Commun Nonlinear Sci Numer Simulat. 2021;92:1–19.105476.
- Migrski S, Ochal A, Sofonea M. A class of variational-hemivariational inequalities in reflexive Banach spaces. J Elast. 2017;127:151–178.
- Denkowski Z, Migrski S, Papageorgiou NS. An introduction to nonlinear analysis theory. London: Kluwer Academic/Plenum Publishers; 2003.
- Brezis H. Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. 1973. North-Holland, Amsterdam, Math. Stud; vol. 5
- Verma RU. On generalized variational inequalities involving relaxed Lipschitz and relaxed monotone operators. J Math Anal Appl. 1997;213:387–392.
- Ahmad R, Kazmi KR, Salahuddin. Completely generalized nonlinear variational inclusion involving relaxed Lipschitz and relaxed monotone mappings. Nonlinear Anal Forum. 2000;5:61–69.
- Migrski S, Ochal A. An inverse coefficient problem for a parabolic hemivariational inequality. Appl Anal. 2010;89:243–256.
- Ju X, Khan SA. Well-posedness for bilevel vector equilibrium problems. Appl Set-Valued Anal Optim. 2019;1:29–28.
- Chen T, Zou S, Zhang Y. New existence theorems for vector equilibrium problems with set-valued mappings. J Nonlinear Funct Anal. 2019;2019:Article ID 45.
- Ju X, Zhu X, Akram M. Levitin-Polyak well-posedness for bilevel vector variational inequalities. J Nonlinear Var Anal. 2019;3:277–293.
- Salahuddin. The extragradient method for quasi monotone variational inequalities. Optimization. 2021;70(1):127–136.
- Migrski S. Identification of operators in systems governed by second order evolution inclusions with applications to hemivariational inequalities. Int J Innov Comput Inf Control. 2012;8:3845–3862.
- Liu ZH, Zeng B. Optimal control of generalized quasi-variational hemivariational inequalities and its applications. Appl Math Optim. 2015;72:305–323.
- Motreanu D, Sofonea M. Quasi variational inequalities and applications in frictional contact problems with normal compliance. Adv Math Sci Appl. 2000;10:103–118.
- Sofonea M, Matei A Mathematical models in contact mechanics. Cambridge University Press; 2012. (London Mathematical Society Lecture Note Series; vol.398).