References
- Ahmed, N.U. and Teo, K.L. (1981) Optimal Control of Distributed Parameter Systems. North Holland.
- Amir, A. and Mokhtar-Kharroubi, H. (2010) Normality and Quasiconvex Integrands. J. Convex Analysis. 17, 1, 59-68.
- Andrews, K., Kuttler, K., Li, J. and Shillor, M. (2019) Measurable solution for elliptic inclusion and quasistatic problems. Comput. Math. Appl. 77, 2869-2882.
- Andrews, K., Kuttler, K. and Li, J. (2020) Measurable solutions to General Evolution Inclusion. Evolution Equations and Control Theory. 9, 4, 935-960.
- Aubin, J. P. (1972) Théorèmes de minimax pour une classe de fonctions. C.R. Acad. Sci. Paris Sér. A, 274, 455-458.
- Aubin, J. P. and Cellina, A. (1984) Differential Inclusions. Springer-Verlag.
- Aubin, J. P. and Clarke, F.H. (1979) Shadow prices and duality for a class of optimal control problems. SIAM J. Cont. and Optim. 17, 5. 567-586.
- Aubin, J. P. and Ekeland, I. (1984) Applied Nonlinear Analysis. Wiley.
- Barbu, V. (1976) Nonlinear Semigroups and Differential Equations in Banach Spaces. Noordho, Leyden.
- Barbu, V. (1994) Mathematical Methods of Differential Systems. Kluwer Academic Publishers.
- Barbu, V. and Precupanu, Th. (1978) Convexity and Optimization. Sijtho -Noordho.
- Benharath, M. and Mokhtar-Kharroubi, H. (2010) Exterior Penalty in Optimal Control Problems with State-Control Constraints. Rendiconti del Circolo Mathematico di Palermo. 59, 3, 389-403.
- Bian, W. and Weeb, J.R.L. (1999) Solutions of nonlinear evolution inclusions. Nonlinear Analysis 37, 915-932.
- Bot, R.I. and Csetnek, E. R. (2012) Regularity conditions via generalized interiority notions in convex optimization: new achievements and their relation to some classical statements. Optimization 61 (1), 35-65.
- Bressan, A. and Zhang, D. (2012) Control Problems for a class of Set valued Evolutions. Set Valued Var. Anal. 20: 581-601.
- Castaing, C. and Valadier, M. (1977) Convex Analysis and Measurable Multifunctions. Lecture Notes 580. Springer Verlag.
- Denkowski, Z., Migorski, S. and Papageorgiou, N.S. (2003) On convergence of solutions of multivalued parabolic equations and applications. Nonlinear Anal. 54, 667-682.
- Fiacca, A., Papageorgiou, N.S. and Papalini, F. (1998) On the existence of optimal control for nonlinear infinite dimensional systems. Czech. Math. J. 49, 2, 291-312.
- Han, W. and Sofonea, M. (2003) Quasistatic contact problems in viscoelasticity and viscoplasticity. In: AMS/IP Studies in Advanced Math. 30. Amer. Math Soc. Providence RI; International Press, Somerville, MA.
- Kuttler, K. L. (2000) Nondegenerate implicit evolution inclusion. Electron. J. Differential Equations. 2000, 1-20.
- Kuttler, K. L. (2019) Measurable solutions for Elliptic and Evolution inclusions. EECT. doi;10.3934/cect.2020041
- Kuttler, K. L. and Li, J. (2015) Measurable solution for stochastic evolution equations without uniqueness. Appl. Anal., 94, 2456-2477.
- Kuttler, K. L., Li, J. and Shillor, M. (2016) A general product measurability theorem with applications to variational inequalities. Elect. J. Di . Equa., 2016, 90, 1–12.
- Kuttler, K. L. and Shillor, M. (1999) Set-valued pseudomonotone maps and degenerate evolution inclusions. Commun. Contemp. Math. 1, 87-123.
- Mahmudov, E. N. (2011) Approximation and Optimization of Discrete and Differential Inclusions, Elsevier, Boston, USA.
- Migorski S., Ochal, A. and Sofonea, M. (2013) Nonlinear Inclusions and Hemivariational Inequalities. Models and Analysis of Contact Problems. Advances in Mechanics and Mathematics, 26, Springer, New York.
- Mokhtar-Kharroubi, H. (1987) Sur quelques fonctions marginales et leurs applications. Thèse Doctorat Es-Sciences. Lille I.
- Mokhtar-Kharroubi, H. (2017) Convex and convex-like optimization over a range inclusion problem and first applications. Decisions in Economics and Finance 40, 1.
- Mokhtar-Kharroubi, H. (2022) Characterizations and classification of para-convex multimaps. Control & Cybernetics, 51, 3.
- Motreanu, D. and Radulescu, V. (2003) Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems. Kluwer Acad. Publ.
- Oppezzi, P. and Rossi, A. M. (1995) Existence results for unilateral problems with multivalued operators. J. Convex Anal 2, 1/2, 241-261.
- Papageorgiou, N. S. (1987) On the attainable set of Differential Inclusion and Control systems. J. Math. Anal. Appl. 125, 305-322.
- Papageorgiou, N. S. (1991) On the dependance of the solutions and optimal solutions of control problems on the control constraint set. J. Math. Anal. Appl. 158, 427-447.
- Peypouquet, J. and Sorin, S. (2009) Evolution equations for maximal operators. Asymptotic analysis in continuous and discrete-time. Math. OCJ. 08 May.
- Ravikumar, K., Mohan, M. T. and Anguraj, A. (2021) Apprioximate controllability of a non-Autonomous evolution equation in Banach Spaces. Numerical Algebra Control and Optimization. doi:10.3934/naco.2020038
- Robinson, S. (1976) Regularity and stability for convex multivalued functions. Math. Oper. Res, 1, 2, 130-143.
- Ursescu, C. (1975) Multifunctions with convex closed graph. Czechoslovak Mathematical Journal, 3, 438-441.
- Vilches, E. and Nguiven, B.T. (2020) Evolution equation governed by time-dependant monotone operator with full domain. Set-Valued and Variational Analysis, 28, 569–581.
- Wagner, D. (1977) Survey on measurable selections theorems. SIAM. J. Cont. Optim. 15, 850-903.
- Zagurovsky, M. Z., Mel’nik, V. S. and Kasyanov, P. O. (2011) Evolution Equations and Variational Inequalities for Earth Data Processing II. Springer.