[1] Kuroiwa, D.: Some criteria in set-valued optimization. In Japanese Surikaisekikenkyusho Kokyuroku 985, 171–176(1997)
[2] Alonso, M., Rodríguez-Marín, L.: Optimality conditions for set-valued maps with set optimization. Nonlinear Anal. 70, 3057–3064(2009)
[3] Qiu, Q., Yang, X.: Some properties of approximate solutions for vector optimization problem with set-valued functions. J. Glob. Optim. 47, 1–12(2010)
[4] Gutiérrez, C., Jiménez, B., Novo, V., Thibault, L.: Strict approximate solutions in set-valued optimization with applications to the approximate Ekeland variational principle. Nonlinear Anal. 73, 3842–3855(2010)
[5] Alonso, M., Rodríguez-Marín, L.: On approximate solutions in set-valued optimization problems. J. Comput. Appl. Math. 236, 4421–4427(2012)
[6] Dhingra, M., Lalitha, C.S.: Approximate solutions and scalarization in set-valued optimization. Optimization 66(11), 1–13(2016)
[7] Gutiérrez, C., Jiménez, B., Novo, V.: A generic approach to approximate efficiency and applications to vector optimization with set-valued maps. J. Glob. Optim. 49, 313–342(2011)
[8] Guu, S.M., Huang, N.J., Li, J.: Scalarization approaches for set-valued vector optimization problems and vector variational inequalities. J. Math. Anal. Appl. 356, 564–576(2009)
[9] Khoshkhabar-amiranloo, S., Soleimani-damaneh, M.: Scalarization of set-valued optimization problems and variational inequalities in topological vector spaces. Nonlinear Anal. 75, 1429–1440(2012)
[10] Hernández, H., Rodríguez-Marín, L.: Nonconvex scalarization in set optimization with set-valued maps. J. Math. Anal. Appl. 325, 1–18(2007)
[11] Maeda, T.: On optimization problems with set-valued objective maps: existence and optimality. J. Optim. Theory Appl. 153, 263–279(2012)
[12] Khoshkhabar-amiranloo, S., Khorram, E., Soleimani-damaneh, M.: Nonlinear scalarization functions and polar cone in set optimization. Optim. Lett. 11, 521–535(2016)
[13] Oveisiha, M.: Scalarization approach for approximation of weakly efficient solutions of set-valued optimization problems. Cogent Math. (2016). https://doi.org/10.1080/23311835.2016.1243840
[14] Hernández, H., Lópezand, L.: About asymptotic analysis and set optimization. Set-Valued Var. Anal. 27, 643–664(2019)
[15] Xu, Y.D., Li, S.J.: A new nonlinear scalarization function and applications. Optimization 65(1), 207–231(2016)
[16] Kong, X., Yu, G., Liu, W.: Optimality for set-valued optimization in the sense of vector and set criteria. J. Inequal. Appl. (2017). https://doi.org/10.1186/s13660-017-1319-x
[17] Kutateladze, S.S.: Convex $ \varepsilon $-programming. Sov. Math. Dokl. 20, 391–393(1979)
[18] Grecksch, W., Heyde, F., Isac, G., Tammer, C.: A characterization of approximate solutions of multiobjective stochastic optimal control problems. Optimization 52(2), 153–170(2003)
[19] Khoshkhabar-amiranloo, S., Khorram, E.: Scalar characterizations of cone-continuous set-valued maps. Appl. Anal. 95, 2750–2765(2015)
[20] Rockafeller, R.T., Wets, R.J.-B.: Variational analysis. In: Grundlehren der Mathematischen Wisenschaften, vol. 317. Springer, Berlin (1998)
[21] Song, W.: Lagrangian duality for minimization of nonconvex multifunctions. J. Optim. Theory Appl. 93, 167–182(1997)
[22] Luc, D.T.: Theory of vector optimization. In: Lecture Notes in Econom and Math Systems, vol. 319. Springer-Verlag, Berlin (1989)
[23] Kuroiwa, D.: Convexity for set-valued maps. Appl. Math. Lett. 9, 97–101(1996)
[24] Khoshkhabar-amiranloo, S.: Stability of minimal solutions to parametric set optimization problems. Appl. Anal. 97, 2510–2522(2017)
[25] Ehrgott, M.: Multicriteria Optimization. Springer, Berlin (2005)
[26] Alonso, M., Rodríguez-Marín, L.: Set-relations and optimality conditions in set-valued maps. Nonlinear Anal. 63(8), 1167–1179(2005) |
