References
- Hartman P, Stampacchia G. On some nonlinear elliptic differential functional equations. Acta Math. 1966;115:153–188.
- Facchinei F, Pang JS. Finite-dimensional variational inequalities and complementary problems. New York (NY): Springer-Verlag; 2003.
- Panagiotopoulos PD. Nonconvex energy functions, hemivariational inequalities and substationarity principles. Acta Mech. 1983;42:160–183.
- Panagiotopoulos PD. Inequality problems in mechanics and applications, convex and nonconvex energy functions. Basel: Birkhäser; 1985.
- Panagiotopoulos PD. Hemivariational inequalities, applications to mechanics and engineering. Berlin: Springer; 1993.
- Carl S, Le VK, Motreanu D. Nonsmooth variational problems and their inequalities (comparison principles and applications). New York (NY): Springer; 2007.
- Migórski S, Ochal A, Sofonea M. Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems. Vol. 26, Advances in mechanics and mathematics. New York (NY): Springer; 2013.
- Carl S, Le VK, Motreanu D. Existence and comparison principles for general quasilinear variational-hemivariational inequalities. J. Math. Anal. Appl. 2005;302:65–83.
- Liu ZH. Elliptic variational hemivariational inequalities. Appl. Math. Lett. 2003;16:871–876.
- Costea N, Rădulescu V. Hartman--Stampacchia results for stably pseudomonotone operators and nonlinear hemivariational inequalities. Appl. Anal. 2010;89:175–188.
- Tang GJ, Huang NJ. Existence theorems of the variational-hemivariational inequalities. J. Glob. Optim. 2013;56:605–622.
- Tang GJ, Wang X, Wang ZB. Existence of variational quasi-hemivariational inequalities involving a set-valued operator and a nonlinear term. Optim. Lett. 2015;9:75–90.
- Zhang YL, He YR. On stably quasimonotone hemivariational inequalities. Nonlinear Anal. 2011;74:3324–3332.
- Park JY, Ha TG. Existence of antiperiodic solutions for hemivariational inequalities. Nonlinear Anal. 2008;68:747–767.
- Németh SZ. Variational inequalities on Hadamard manifolds. Nonlinear Anal. 2003;52:1491–1498.
- Chen SL, Huang NJ. Vector variational inequalities and vector optimization problems on Hadamard manifolds. Optim. Lett. 2015. doi: 10.1007/s11590-015-0896-1.
- Li XB, Huang NJ. Generalized vector quasi-equilibrium problems on Hadamard manifolds. Optim. Lett. 2015;9:155–170.
- Li SL, Li C, Liou YC, et al. Existence of solutions for variational inequalities on Riemannian manifolds. Nonlinear Anal. TMA. 2009;71:5695–5706.
- Li C, Yao JC. Variational inequalities for set-valued vector fields on Riemannian manifolds convexity of the solution set and the proximal point algorithm. SIAM J. Control Optim. 2012;50:2486–2514.
- Liou YC, Obukhovskii V, Yao JC. On topological index of solutions for variational inequalities on Riemannian manifolds. Set-Valued Var. Anal. 2012;20:369–386.
- Tang GJ, Huang NJ. Korpelevich’s method for variational inequality problems on Hadamard manifolds. J. Glob. Optim. 2012;54:493–509.
- Tang GJ, Zhou LW, Huang NJ. The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds. Optim. Lett. 2013;7:779–790.
- Tang GJ, Wang X, Liu HW. A projection-type method for variational inequalities on Hadamard manifolds and verification of solution existence. Optimization. 2015;64:1081–1096.
- Zhou LW, Huang NJ. Existence of solutions for vector optimization on Hadamard manifolds. J. Optim. Theory Appl. 2013;157:44–53.
- Xiao YB, Huang NJ, Wong MM. Well-posedness of hemivariational inequalities and inclusion problems. Taiwan. J. Math. 2011;15:1261–1276.
- Xiao YB, Yang XM, Huang NJ. Some equivalence results for well-posedness of hemivariational inequalities. J Glob. Optim. 2015;61:789–802.
- Panagiotopoulos PD, Fundo M, Rădulescu V. Existence theorems of Hartman--Stampacchia type for hemivariational inequalities and applications. J. Glob. Optim. 1999;15:41–54.
- Sakai T. Riemannian geometry. Vol. 149, Translations of mathematical monographs. Providence (RI): American Mathematical Society; 1996.
- Bento GC, Ferreira OP, Oliveira PR. Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds. Nonlinear Appl. 2010;73:564–572.
- Ferreira OP. Dini derivative and a characterization for Lipschitz and convex functions on Riemannian manifolds. Nonlinear Anal. 2008;68:1517–1528.
- Hosseini S, Pouryayevali MR. Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds. Nonlinear Anal. 2011;74:3884–3895.
- Quiroz EAP, Oliveira PR. Proximal point method for minimizing quasiconvex locally Lipschitz functions on Hadamard manifolds. Nonlinear Anal. 2012;75:5924–5932.
- Németh SZ. Monotone vector fields. Publ. Math. 1999;54:437–499.
- Colao V, López G, Marino G, et al. Equilibrium problems in Hadamard manifolds. J. Math. Anal. Appl. 2012;388:61–77.
- Zhou LW, Huang NJ. Generalized KKM theorems on Hadamard manifolds with applications. 2009. Available from: http://www.paper.edu.cn/index.php/default/releasepaper/content/200906-669.
- Ferreira OP, Pérez LRL, Németh SZ. Singularities of monotone vector fields and an extragradient-type algorithm. J. Glob. Optim. 2005;31:133–151.
- Kinderlehrer D, Stampacchia G. An introduction to variational inequalities and their applications. New York (NY): Academic Press; 1980.
- Kristály A. Nash-type equilibria on Riemannian manifolds: a variational approach. J. Math. Pures Appl. 2014;101:660–688.