[1] Ansari, Q.H.: Vector Equilibrium Problems and Vector Variational Inequalities, in Vector Variational Inequalities and Vector Equilibria. Mathematical Theories, Edited by Prof. F. Giannessi, Kluwer Academic Publishers, Dordrecht-Boston-London, pp. 1-16 (2000)

[2] Ansari, Q.H., Oettli, W., Schlager, D.: A generalization of vectorial equilibria. Math. Methods Oper. Res. 46, 147–152 (1997)

[3] Ansari, Q.H., Yang, X.Q., Yao, J.C.: Characterizations of solutions for vector equilibrium problems. J. Optim. Theory Appl. 113(3), 435–447 (2002)

[4] Bianchi, M., Hadjisavvas, N., Schaible, S.: Vector equilibrium problems with generalized monotone bifunctions. J. Optim. Theory Appl. 92, 527–542 (1997)

[5] Bonnans, J.-F., Cominetti, R., Shapiro, A.: Second order optimality conditions based on parabolic second order tangent sets. SIAM J. Optim. 9(2), 466–492 (1999)

[6] Borwein, J.M., Lewis, A.: Partially-finite convex programming. Part 1: Quasirelative interiors and duality theory. Math. Prog. 57, 15–48 (1992)

[7] Cammaroto, F., Di Bella, B.: Separation theorem based on the quasirelative interior and application to duality theory. J. Optim. Theory Appl. 125, 223–229 (2005)

[8] Craven, B. D.: Control and optimization. Volume 16 of Chapman Hall/CRC Mathematics Series (1998)

[9] Constantin, E.: Second-order optimality conditions for problems with locally Lipschitz data via tangential directions. Comm. Appl. Nonlinear Anal. 18(2), 75–84 (2011)

[10] Feng, Y., Qiu, Q.: Optimality conditions for vector equilibrium problems with constraint in Banach spaces. Optim. Lett. 8, 1931–1944 (2014)

[11] Feng, M., Li, S.: Second-Order Strong Karush/Kuhn–Tucker Conditions for Proper Efficiencies in Multiobjective Optimization. J. Optim. Theory Appl. (2019). https://doi.org/10.1007/s10957-019-01484-0

[12] Ginchev, I., Ivanov, V.I.: Second-order optimality conditions for problems with $$C^1$$ data. J. Math. Anal. Appl. 340, 646–657 (2008)

[13] Gong, X.H.: Scalarization and optimality conditions for vector equilibrium problems. Nonlinear Anal. 73, 3598–3612 (2010)

[14] Gong, X.H.: Optimality conditions for vector equilibrium problems. J. Math. Anal. Appl. 342, 1455–1466 (2008)

[15] Gong, X.H.: Optimality conditions for Henig and globally proper efficient solutions with ordering cone has empty interior. J. Math. Anal. Appl. 307, 12–31 (2005)

[16] Gong, X.H.: Efficiency and Henig efficiency for vector equilibrium problems. J. Optim. Theory Appl. 108(1), 139–154 (2001)

[17] Guerraggio, A., Luc, D.T.: Properly maximal points in product spaces. Math. Oper. Res. 31, 305–315 (2006)

[18] Gutiérrez, C., Jiménez, B., Novo, V.: On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming. Math. Prog. 123(B), 199–223 (2010)

[19] Hiriart-Urruty, J.B., Seeger, A.: Calculus rules on a new set-valued second order derivative for convex functions. Nonlinear Anal. 13, 721–738 (1989)

[20] Ivanov, V.I.: Second-order optimality conditions for vector problems with continuously Fréchet differentiable data and second-order constraint qualifications. J. Optim. Theory Appl. 166, 777–790 (2015)

[21] Ivanov, V.I.: Optimality conditions for an isolated minimum of order two in $$C^1$$ constrained optimization. J. Math. Anal. Appl. 356, 30–41 (2009)

[22] Jahn, J.: Theory, applications and extensions second edition vector optimization. Springer, Berlin Heilelberg (2011)

[23] Jeyakumar, V., Luc, D.T.: Nonsmooth vector functions and continuous optimization. Springer, New York (2008)

[24] Jiménez, B., Novo, V.: First- and second-order sufficient conditions for strict minimality in nonsmooth vector optimization. J. Math. Anal. Appl. 284, 496–510 (2003)

[25] Jiménez, B., Novo, V.: Optimality conditions in differentiable vector optimization via second-order tangent sets. Appl. Math. Optim. 49, 123–144 (2004)

[26] Jiménez, B., Novo, V.: First order optimality conditions in vector optimization involving stable functions. Optim. 57(3), 449–471 (2008)

[27] Kabgani, A., Soleimani-damaneh, M.: Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators. Optim. 67, 217–235 (2018)

[28] Khanh, P.Q., Tung, N.M.: Second-order optimality conditions with the envelope-like effect for set-valued optimization. J. Optim. Theory Appl. 167, 68–90 (2015)

[29] Khanh, P.Q., Tuan, N.D.: Optimality conditions for nonsmooth multiobjective optimization using Hadamard directional derivatives. J. Optim. Theory Appl. 133, 341–357 (2007)

[30] Lee, H., Pavel, N.: Higher order optimality conditions and its applications. Pan. Am. Math. J. 14, 11–24 (2004)

[31] Li, S.J., Zhu, S.K., Teo, K.L.: New generalized second-order contingent epiderivatives and set-valued optimization problems. J. Optim. Theory Appl. 152, 587–604 (2012)

[32] Liu, L.P.: The second-order conditions of nondominated solutions for $$C^{1,1}$$ generalized multiobjective mathematical programming. J. Syst. Sci. Math. Sci. 4, 128–131 (1991)

[33] Long, X.J., Huang, Y.Q., Peng, Z.Y.: Optimality conditions for the Henig efficient solution of vector equilibrium problems with constraints. Optim. Lett. 5, 717–728 (2011)

[34] Luc, D.T.: Theory of vector optimization. Lect. notes in Eco. and Math. systems. Springer, Berlin Germany (1989)

[35] Luu, D.V.: Higher-order necessary and sufficient conditions for strict local Pareto minima in terms of Studniarski’s derivatives. Optim. 57, 593–605 (2008)

[36] Luu, D.V.: Higher-order optimality conditions in nonsmooth cone-constrained multiobjective programming. Nonlinear Funct. Anal. Appl. 15, 381–393 (2010)

[37] Luu, D.V.: Higher-order efficiency conditions via higher-order tangent cones. Numer. Funct. Anal. Optim. 35, 68–84 (2014)

[38] Luu, D.V.: Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems. J. Glob. Optim. 70, 437–453 (2018)

[39] Luu, D.V., Hang, D.D.: Efficient solutions and optimality conditions for vector equilibrium problems. Math. Meth. Oper. Res. 79, 163–177 (2014)

[40] Luu, D.V., Su, T.V.: Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints. RAIRO-Oper. Res. 52, 543–559 (2018)

[41] Penot, J.P.: Second-order conditions for optimization problems with constraints. SIAM J. Control Optim. 37, 303–318 (1999)

[42] Qiu, Q.S.: Optimality conditions for vector equilibrium problems with constraints. J. Ind. Manag. Optim. 5, 783–790 (2009)

[43] Rockafellar, R.T.: Convex Analysis. Princeton University Press, Princeton (1970)

[44] Studniarski, M.: Necessary and sufficient conditions for isolated local minima of nonsmooth functions. SIAM J. Control Optim. 24, 1044–1049 (1986)

[45] Su, T.V.: New second-order optimality conditions for vector equilibrium problems with constraints in terms of contingent derivatives. Bull. Braz. Math. Soc. New Series. 51(2), 371–395 (2020)

[46] Su, T.V., Hien, N.D.: Necessary and sufficient optimality conditions for constrained vector equilibrium problems using contingent hypoderivatives. Optim. Eng. 21, 585–609 (2020)

[47] Su, T.V., Hien, N.D.: Studniarski’s derivatives and efficiency conditions for constrained vector equilibrium problems with applications. Optim. (2019). https://doi.org/10.1080/02331934.2019.1702985

[48] Su, T.V., Hang, D.D.: Optimality conditions for the efficient solutions of vector equilibrium problems with constraints in terms of directional derivatives and applications. Bull. Iran. Math. Soc. 45(6), 1619–1650 (2019)

[49] Taa, A.: Second order conditions for nonsmooth multiobjective optimization problems with inclusion constrains. J. Global Optim. 50, 271–291 (2011)