References
- Noor MA, Oettli W. On general nonlinear complementarity problems and quasi-equilibria. Le Matematiche. 1994;49:313–331.
- Fu JY. Symmetric vector quasi-equilibrium problems. J Math Anal Appl. 2003;285:708–713.
- Farajzadeh AP. On the symmetric vector quasi-equilibrium problems. J Math Anal Appl. 2006;322:1099–1110.
- Gong XH. Symmetric strong vector quasi-equilibrium problems. Math Methods Oper Res. 2007;65:305–314.
- Anh LQ, Khanh PQ. Existence conditions in symmetric multivalued vector quasiequilibrium problems. Control Cybern. 2007;36:519–530.
- Chen B, Huang NJ, Wen CF. Existence and stability of solutions for generalized symmetric strong vector quasi-equilibrium problems. Taiwan J Math. 2012;16:941–962.
- Lashkaripour R, Karamian A. On a new generalized symmetric vector equilibrium problem. J Inequal Appl. 2017;2017:237.
- Han Y, Gong XH, Huang NJ. Existence of solutions for symmetric vector set-valued quasi-equilibrium problems with applications. Pacific J Optim. 2018;14:31–49.
- Farajzadeh AP, Wangkeeree R, Kerdkaew J. On the existence of solutions of symmetric vector equilibrium problems via nonlinear scalarization. Bull Iran Math Soc. 2019;45:35–58.
- Zhong RY, Huang NJ, Wong MM. Connectedness and path-connectedness of solution sets to symmetric vector equilibrium problems. Taiwan J Math. 2009;13(2):821–836.
- Zaffaroni A. Degrees of efficiency and degrees of minimality. SIAM J Control Optim. 2003;42(3):1071–1086.
- Gutiérrez C, Jiménez B, Novo V. Improvement sets and vector optimization. Eur J Oper Res. 2012;223:304–311.
- Zhao KQ, Yang XM. A unified stability result with perturbations in vector optimization. Optim Lett. 2013;7:1913–1919.
- Fakhar M, Zafarani J. Generalized symmetric vector quasiequilibrium problems. J Optim Theory Appl. 2008;136:397–409.
- Chen CR, Zuo X, Lu F, et al. Vector equilibrium problems under improvement sets and linear scalarization with stability applications. Optim Method Softw. 2016;31:1240–1257.
- Hiriart-Urruty JB. New concepts in nondifferentiable programming. Mém de la Soc Math de France. 1979;60:57–85.
- Aubin JP, Ekeland I. Applied nonlinear analysis. New York (NY): Wiley; 1984.
- Berge C. Topological spaces. London: Oliver and Boyd; 1963.
- Göpfert A, Riahi H, Tammer C, et al. Variational methods in partially ordered spaces. New York (NY): Springer-Verlag; 2003.
- Luc DT. Theory of vector optimization. Berlin: Springer; 1989. (Lecture notes in economics and mathematical systems, vol. 319).
- Fan K. Fixed point and minimax theorems in locally convex topological linear spaces. Proc Natl Acad Sci USA. 1952;38:121–126.
- Glicksberg I. A further generalization of Kakutani fixed point theorem with applications to Nash equilibrium points. Proc Am Math Soc. 1952;3:170–174.
- Deguire P, Tan KK, Yuan GXZ. The study of maximal elements, fixed point for LS-majorized mappings and the quasi-variational inequalities in product spaces. Nonlinear Anal. 1999;37:933–951.
- Peng ZY, Wang ZY, Yang XM. Connectedness of solution sets for weak generalized symmetric Ky Fan inequality problems via addition-invariant sets. J Optim Theory Appl. 2020;185:188–206.
- Peng ZY, Wang JJ, Long XJ, et al. Painlevé-Kuratowski convergence of solutions for perturbed symmetric set-valued quasi-equilibrium problem via improvement sets. Asia-Pac J Oper Res. 2020;37(4):2040003.