References
- Nikaido H , Isoda K . Note on noncooperative convex games. Pac J Math. 1955;5(1):807–815.
- Fan K . A minimax inequality and applications. In: Shisha O , editor. Inequalities. Vol. III. New York (NY): Academic Press; 1972. p. 103–113
- Brézis H , Nirenberg L , Stampacchia G . A remark on Ky Fan’s minimax principle. Boll Unione Mat Ital. 1972;6:293–300.
- Mosco U . Implicit variational problems and quasi-variational inequalities. In: Gossez JP , Lami Dozo EJ , Mawhin J , et al. , editors. Nonlinear operators and the calculus of variations, Proceedings of Summer School (Bruxelles 1975). Vol. 543, Lecture notes in mathematics. Berlin: Springer-Verlag; 1976. p. 83–156.
- Joly JL , Mosco U . A propos de l’existence et de la régularité des solutions de certaines inéquations quasi-variationnelles. J Funct Anal. 1979;34(1):107–137.
- Blum E , Oettli W . From optimization and variational inequalities to equilibrium problems. Math Student. 1994;63:123–145.
- Baiocchi C , Capelo A . Variational and quasivariational inequalities: applications to free boundary problems. New York (NY): Wiley; 1984.
- Bento GC , Cruz Neto JX , Lopes JO , et al . Generalized proximal distance for bilevel equilibrium problems. SIAM J Optim. 2016;26(1):810–830.
- Daniele P , Giannessi F , Maugeri A . Equilibrium problems and variational models. Boston: Kluwer Academic Publishers; 2003.
- Giannessi F , Maugeri A , Pardalos PM . Equilibrium problems: nonsmooth optimization and variational inequality models. New York (NY): Springer; 2002.
- Konnov IV . Generalized monotone equilibrium problems and variational inequalities. In: Hadjisavvas N , Komlósi S , Schaible S , editors. Handbook of generalized convexity and generalized monotonicity. New York (NY): Springer; 2005. p. 559–618.
- Chadli O , Koukkous A , Saidi A . Existence of anti-periodic solutions for nonlinear implicit evolution equations with time dependent pseudomonotone operators. J Nonlinear Var Anal. 2017;1:71–88.
- Bigi G , Castellani M , Pappalardo M . Existence and solution methods for equilibria. Eur J Oper Res. 2013;227(1):1–11.
- Brézis H . Equations et inéquations non linéaires dans les espaces vectoriels en dualité. Ann Inst Fourier. 1968;18(1):115–175.
- Browder FE . Nonlinear maximal monotone operators in Banach space. Math Ann. 1968;175(2):89–113.
- Browder FE . Nonlinear variational inequalities and maximal monotone mappings in Banach spaces. Math Ann. 1969;183(3):213–231.
- Lions JL . Quelques Méthodes de Résolution des Problèmes Aux Limites Non-linéaires. Berlin: Dunod; 1969.
- Carl S , Le VK , Motreanu D . Nonsmooth variational problems and their inequalities: comparison principles and applications. New York (NY): Springer; 2009.
- Duvaut G , Lions JL . Les Inéquations en Mécanique et en Physique. Berlin: Dunod; 1972.
- Fichera G . Boundary value problems in elasticity with unilateral constraints. In: Handbuch der Physik. VIa 2. Berlin: Springer-Verlag; 1972. p. 347–389.
- Lions JL , Stampacchia G . Variational inequalities. Commun Pure Appl Math. 1967;20(3):493–519.
- Naniewicz Z , Panagiotopoulos PD . Mathematical theory of hemivariational inequalities and applications. New York (NY): Marcel Dekker; 1995.
- Auslender A . Noncoercive optimization problems. Math Oper Res. 1996;21(1):769–782.
- Auslender A . How to deal with unboundedeness in optimization: theory and algorithms. Math Program Ser B. 1997;79(1):3–18.
- Baiocchi C , Buttazzo G , Gastaldi F , et al . General existence theorems for unilateral problems in continuum mechanics. Arch Ration Mech Anal. 1988;100(2):149–189.
- Adly S , Goeleven D , Théra M . Recession mappings and noncoercive variational inequalities. Nonlinear Anal. 1996;26(9):1573–1603.
- Gastaldi F , Tomarelli F . Some remarks on nonlinear and noncoercive variational inequalities. Boll Unione Mat Ital. 1987;7(1):143–165.
- Tomarelli F . Noncoercive variational inequalities for pseudomonotone operators. Rend Sem Mat Fis. Milano. 1991;61(1):141–183.
- Flores-Bazán F . Existence theorems for generalized noncoercive equilibrium problems: the quasi-convex case. SIAM J Optim. 2000;11(3):675–690.
- Flores-Bazán F . Existence theory for finite-dimensional pseudomonotone equilibrium problems. Acta Appl Math. 2003;77(3):249–297.
- Hadjisavvas N , Khatibzadeh H . Maximal monotonicity of bifunctions. Optimization. 2010;59(2):147–160.
- Gwinner J . Nichtlineare Variationsungleichungen mit Anwendungen [PhD thesis]. Frankfurt: Universität Mannheim, Haag-Herchen Verlag; 1978.
- Gwinner J . A note on pseudomonotone functions, regularization, and relaxed coerciveness. Nonlinear Anal. 1997;30(7):4217–4227.
- Kittilä A . On the topological degree for a class of mappings of monotone type and applications to strongly nonlinear elliptic problems. Ann Acad Sci Fenn Ser A. 1994;91:1–47.
- Showalter RE . Monotone operators in Banach space and nonlinear partial differential equations. Vol. 49, Mathematical surveys and monographs. Providence (RI): American Mathematical Society; 1997.
- Karamardian S . Complementarity problems over cones with monotone and pseudomonotone maps. J Optim Theory Appl. 1976;18(4):445–454.
- Bianchi M , Schaible S . Generalized monotone bifunctions and equilibrium problems. J Optim Theory Appl. 1996;90(1):31–43.
- Hadjisavvas N , Schaible S . Quasimonotone variational inequalities in Banach spaces. J Optim Theory Appl. 1996;90(1):95–111.
- Hung PG , Muu LD . The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions. Nonlinear Anal. 2011;74(17):6121–6129.
- Zeidler E . Nonlinear functional analysis and its applications (II A and II B). New York (NY): Springer; 1990.
- Chadli O , Schaible S , Yao JC . Regularized equilibrium problems with application to noncoercive hemivariational inequalities. J Optim Theory Appl. 2004;121(3):571–596.
- Chadli O , Ansari QH , Yao JC . Mixed equilibrium problems and anti-periodic solutions for nonlinear evolution equations. J Optim Theory Appl. 2016;168(2):410–440.
- Baiocchi C , Gastaldi F , Tomarelli F . Some existence results on non-coercive variational inequalities. Ann Scuola Norm Sup Cl Sci Ser IV. 1986;13(4):617–659.
- Luc DT , Penot JP . Convergence of asymptotic directions. Trans Amer Math Soc. 2001;353(10):4095–4121.
- Goeleven D . Noncoercive hemivariational inequality approach to constrained problems for star-shaped admissible sets. J Global Optim. 1996;9(2):121–140.
- Brézis H , Nirenberg L . Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. Ann Scuola Norm Sup Pisa. 1978;4(5):225–326.
- Buttazzo G , Tomarelli F . Compatibility conditions for nonlinear Neumann problems. Adv Math. 1991;89(2):127–143.
- Barbu V . Nonlinear differential equations of monotone type in Banach spaces. Berlin: Springer; 2010.
- Ahmed NU , Xiang X . Existence of solutions for a class of nonlinear equations with nonmonotone perturbations. Nonlinear Anal. 1994;22(1):81–89.
- Hirano N . Nonlinear evolution equations with nonmonotonic perturbations. Nonlinear Anal. 1989;13(6):599–609.
- Alizadeh MH , Hadjisavvas N . On the Fitzpatrick transform of a monotone bifunction. Optimization. 2013;62(6):693–701.
- Migòrski S , Ochal A , Sofonea M . Nonlinear inclusions and hemivariational inequalities: models and analysis of contact problems. Vol. 26. New York (NY): Springer; 2013.
- Han W , Migórski S , Sofonea M . A class of variational-hemivariational inequalities with applications to frictional contact problems. SIAM J Math Anal. 2014;46(6):3891–3012.