References
- Hà HV, Pham TS. Genericity in polynomial optimization. Singapore: World Scientific Publishing; 2017.
- Benedetti R, Risler JJ. Real algebraic and semi-algebraic sets. Paris: Hermann; 1990.
- Lee JH, Sisarat N, Jiao LG. Multi-objective convex polynomial optimization and semidefinite programming relaxations, J. Global Optim. 2021;80(1):117–138.
- Ansari QH, Lalitha CS, Mehta M. Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization. New York (NY): Chapman and Hall/CRC; 2013.
- Hieu VT. On the solution existence and stability of polynomial optimization problems; 2020. Available from: https://hal.archives-ouvertes.fr/hal-03002431
- Hieu VT, Wei YM, Yao JC. Notes on the optimization problems corresponding to polynomial complementarity problems. J Optim Theory Appl. 2020;184(2):687–695.
- Kim DS, Pham TS, Tuyen NV. On the existence of Pareto solutions for polynomial vector optimization problems. Math Program. 2019;177(1–2):321–341.
- Hieu VT. Weakly homogeneous optimization problems. Preprint 2020. arXiv:2001.09436v2.
- López R. Stability results for polyhedral complementarity problems. Comput Math Appl. 2009;58(7):1475–1486.
- Gowda MS, Sossa D. Weakly homogeneous variational inequalities and solvability of nonlinear equations over cones. Math Program Ser A. 2019;177(1–2):149–171.
- Ma XX, Zheng MM, Huang ZH. A note on the nonemptiness and compactness of solution sets of weakly homogeneous variational inequalities. SIAM J Optim. 2020;30(1):132–148.
- Flores-Bazán F, Flores-Bazán F. Vector equilibrium problems under asymptotic analysis. J Global Optim. 2003;26(2):141–166.
- Flores-Bazán F, López R. Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems. ESAIM Control Optim Calc Var. 2006;12(2):271–293.
- Flores-Bazán F. Asymptotically bounded multifunctions and the MCP beyond copositivity. J Convex Anal. 2010;17:253–276.
- Rockafellar RT, Wets RJB. Variational analysis. Berlin: Springer; 2009.
- Auslender A, Teboulle M. Asymptotic cones and functions in optimization and variational inequalities. New York (NY): Springer; 2003.
- Bao TQ, Mordukhovich BS. Variational principles for set-valued mappings with applications to multiobjective optimization. Control Cybern. 2007;36:531–562.
- Bao TQ, Mordukhovich BS. Relative Pareto minimizers for multiobjective problems: existence and optimality conditions. Math Program. 2010;122(2):301–347.
- Giannessi F, Mastroeni G, Pellegrini L. On the theory of vector optimization and variational inequalities. Image space analysis and separation. In: Giannessi F, editor. Vector variational inequalities and vector equilibria. Boston (MA): Springer; 2000. (Nonconvex optimization and its applications; 38).
- Huang NJ, Fang YP. The upper semicontinuity of the solution maps in vector implicit quasicomplementarity problems of type R0. Appl Math Lett. 2003;16(7):1151–1156.
- Fang YP, Huang NJ. On the upper semi-continuity of the solution map to the vertical implicit homogeneous complementarity problem of type R0. Positivity. 2006;10(1):95–104.
- Oettli W, Yen ND. Quasicomplementarity problems of type R0. J Optim Theory Appl. 1996;89(2):467–474.
- Yang XQ. Vector complementarity and minimal element problems. J Optim Theory Appl. 1993;77(3):483–495.
- Chen GY, Yang XQ. The vector complementary problem and its equivalence with weak minimal elements in ordered spaces. J Math Anal Appl. 1990;153(1):136–158.
- Lee GM, Kim DS, Lee BS, et al. Vector variational inequality as a tool for studying vector optimization problems. In: Giannessi F, editor. Vector variational inequalities and vector equilibria. Boston (MA): Springer; 2000. (Nonconvex optimization and its Applications; 38).