References
- Alonso M, Rodr\’{\i}guez-Mar\’{\i}n L. Set-relations and optimality conditions in set-valued maps. Nonlinear Anal. 2005;63:1167–1179.
- Aubin JP, Frankowska H. Set-valued analysis. Boston: Birkhäuser; 1990.
- Crespi GP, Hamel AH, Schrage C. A Minty variational principle for set optimization. J Math Anal Appl. 2015;423:770–796.
- Hernández E, Rodr\’{\i}guez-Mar\’{\i}n L. Nonconvex scalarization in set optimization with set-valued maps. J Math Anal Appl. 2007;325:1–18.
- Hernández E, Rodr\’{\i}guez-Mar\’{\i}n L. Existence theorems for set optimization problems. Nonlinear Anal. 2007;67:1726–1736.
- Khan AA, Tammer C, Z\u{a}linescu C. Set-valued optimization. Heidelberg: Springer; 2015.
- Kuroiwa D. On set-valued optimization. Nonlinear Anal. 2001;47:1395–1400.
- Kuroiwa D. Existence theorems of set optimization with set-valued maps. J Inf Optim Sci. 2003;24:73–84.
- Kuroiwa D. Existence of efficient points of set optimization with weighted criteria. J Nonlinear Convex Anal. 2003;4:117–123.
- Zhang WY, Li SJ, Teo KL. Well-posedness for set optimization problems. Nonlinear Anal. 2009;71:3769–3778.
- Gutiérrez C, Miglierina E, Molho E, et al. Pointwise well-posedness in set optimization with cone proper sets. Nonlinear Anal. 2012;75:1822–1833.
- Han Y, Gong XH. Levitin-Polyak well-posedness of symmetric vector quasi-equilibrium problems. Optimization. 2015;64:1537–1545.
- Huang XX. Extended and strongly extended well-posedness of set-valued optimization problems. Math Meth Oper Res. 2001;53:101–116.
- Long XJ, Peng JW. Generalized B-well-posedness for set optimization problems. J Optim Theory Appl. 2013;157:612–623.
- Long XJ, Peng JW, Peng ZY. Scalarization and pointwise well-posedness for set optimization problems. J Global Optim. 2015;62:763–773.
- Miglierina E, Molho E. Well-posedness and convexity in vector optimization. Math Meth Oper Res. 2003;58:375–385.
- Miglierina E, Molho E, Rocca M. Well-posedness and scalarization in vector optimization. J Optim Theory Appl. 2005;126:391–409.
- Gutiérrez C, Miglierina E, Molho E, et al. Convergence of solutions of a set optimization problem in the image space. J Optim Theory Appl. 2016;170:358–371.
- Anh LQ, Khanh PQ. Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems. J Math Anal Appl. 2004;294:699–711.
- Anh LQ, Khanh PQ. On the stability of the solution sets of general multivalued vector quasiequilibrium problems. J Optim Theory Appl. 2007;135:271–284.
- Anh LQ, Khanh PQ. Continuity of solution maps of parametric quasiequilibrium problems. J Global Optim. 2010;46:247–259.
- Cheng YH, Zhu DL. Global stability results for the weak vector variational inequality. J Global Optim. 2005;32:543–550.
- Gong XH, Yao JC. Lower semicontinuity of the set of efficient solutions for generalized systems. J Optim Theory Appl. 2008;138:197–205.
- Gong XH. Continuity of the solution set to parametric weak vector equilibrium problems. J Optim Theory Appl. 2008;139:35–46.
- Han Y, Gong XH. Lower semicontinuity of solution mapping to parametric generalized strong vector equilibrium problems. Appl Math Lett. 2014;28:38–41.
- Huang NJ, Li J, Thompson HB. Stability for parametric implicit vector equilibrium problems. Math Comput Model. 2006;43:1267–1274.
- Xu YD, Li SJ. Continuity of the solution set mappings to a parametric set optimization problem. Optim Lett. 2014;8:2315–2327.
- Li YX. Topological structure of efficient set of optimization problem of set-valued mapping. Chin Ann Math Ser B. 1994;15:115–122.
- Kuroiwa D, Tanaka T, Ha TXD. On cone convexity of set-valued maps. Nonlinear Anal. 1997;30:1487–1496.
- Kuratowski K. Topology. Vols. 1 and 2, New York (NY): Academic Press; 1968.
- Aubin JP, Ekeland I. Applied nonlinear analysis. New York (NY): Wiley; 1984.
- Göpfert A, Riahi H, Tammer C, et al. Variational methods in partially ordered spaces. Berlin: Springer; 2003.
- Luc DT. Theory of vector optimization. Vol. 319, Lecture notes in economics and mathematical systems. Berlin: Springer; 1989.