Về một bất đẳng thức hemivariational tổng quát trong không gian Banach

Aubin, J.P.: Optima and Equilibria. An Introduction to Nonlinear Analysis. Springer, Berlin (1993) Aubin, J.P., Ekeland, I.: Applied Nonlinear Analysis. Wiley, London (1984) Brezis, H., Nirenberg, L., Stampacchia, G.: A remark on Ky Fan’s minimax principle. Bollettino U.M.I. 6(4), 293–300 (1972) Chadli, O., Chbani, Z., Riahi, H.: Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities. J. Optim. Theory Appl. 105(2), 299–323 (2000) Costea, N., Lupu, C.: On a class of variational-hemivariational inequalities involving set valued mappings. Adv. Pure Appl. Math 1, 233–246 (2010) Croicu, A.: On a generalized hemivariational inequality on reflexive Banach spaces. Lib. Math. 22, 17–31 (2002) Croicu, A.: On the eigenvalue problem for a generalized hemivariational inequality. Studia Univ. Babes-Bolyai Math. XLVII(1), 25–42 (2002) Fan, K.: A generalization of Tychonoff’s fixed point theorem. Math. Ann. 142, 305–310 (1961) Fichera, G.: Problemi elastostatici con vincoli unilaterali: il problema di signorini con ambigue conditioni al contorno. Mem. Accad. Naz. Lincei 7, 91–140 (1964) Gasinski, L., Papageorgiou, N.: Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems. Chapman-Hall/CRC, London (2005) Hartman, G.J., Stampacchia, G.: On some nonlinear elliptic differential equations. Acta Math. 115, 271–310 (1966) Kassay, G., Kolumban, J.: Variational inequalities given by semi-pseudomonotone maps. Nonlinear Anal. Forum 5, 35–50 (2000) Kinderlehrer, D., Stampacchia, G.: An Introduction to Variational Inequalities. Academic Press, New York (1980) Knaster, B., Kuratowski, C., Mazurkiewicz, S.: Ein Beweis des Fixpunktsatzes für n-dimensionale Simplexe. Fund. Math. 14, 132–137 (1929) Lions, J.L., Stampacchia, G.: Variational inequalities. Commun. Pure Appl. Math. 20, 493–519 (1967) Lisei, H., Molnar, A.E., Varga, C.: On a class of inequality problems with lack of compactness. J. Math. Anal. Appl. 378, 741–748 (2011) Motreanu, D., Panagiotopoulos, P.D.: Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities. Kluwer Academic Press, Dordrecht (1999) Motreanu, D., Rădulescu, V.: Existence results for inequality problems with lack of convexity. Numer. Funct. Anal. Optimiz 21, 869–884 (2000) Motreanu, D., Rădulescu, V.: Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems, vol. Nonconvex Optim. Appl. Kluwer Academic Publishers, Dordrecht (2003) Naniewicz, Z., Panagiotopoulos, P.D.: Mathematical Theory of Hemivariational Inequalities and Applications. Marcel Dekker, New York (1995) Panagiotopoulos, P.D.: Nonconvex energy functions: hemivariational inequalities and substationary principles. Acta Mech. 42, 160–183 (1983) Panagiotopoulos, P.D.: Inequality Problems in Mechanics and Applications. Convex and Nonconvex Energy Functions. Birkhäuser Verlag, Basel (1985) Panagiotopoulos, P.D.: Nonconvex problems of semipermeable media and related topics. Z. Angew. Math. Mech. 65, 29–36 (1985) Panagiotopoulos, P.D.: Hemivariational inequalities and their applications. In: Morerau, J.J., Panagiotopoulos, P.D. (eds.) Topics in Nonsmooth Mechanics. Birkhäuser Verlag, Boston (1988) Panagiotopoulos, P.D.: Semicoercive hemivariational inequalities on the delamination of composite plates. Q. Appl. Math. 47, 611–629 (1989) Panagiotopoulos, P.D.: Hemivariational Inequalities. Applications in Mechanics and Engineering. Springer, Berlin (1993) Panagiotopoulos, P.D., Fundo, M., Rădulescu, V.: Existence theorems of Hartman–Stampacchia type for hemivariational inequalities and applications. J. Glob. Optim. 15, 41–54 (1999) Simons, S.: Minimax and variational inequalities: are they of fixed-point or Hahn-Banach type? In: Moeschlin, O., Pallaschke, D. (eds.) Game Theory and Mathematical Economics. North Holland, Netherlands (1981) Zhang, Y., He, Y.: On stably quasimonotone hemivariational inequalities. Nonlinear Anal. 74, 3324–3332 (2011)