References
- Yu PL. Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjetives. J Optim Theory Appl. 1974;14:319–377.
- Karaskal EK, Michalowski W. Incorporating wealth information into a multiple criteria decision making model. Eur J Oper. Res. 2003;150:204–219.
- Wiecek MM. Advances in cone-based preference modeling for decision making with multiple criteria. Decis Mak Manuf Serv. 2007;1:153–173.
- Baatar D, Wiecek MM. Advancing equitability in multiobjective programming. Comput Math Appl. 2006;52:225–234.
- Eichfelder G. Variable ordering structures in vector optimization. Berlin: Springer; 2014.
- Bao TQ, Mordukhovich BS. Necessary nondomination conditions for set and vector optimization with variable structures. J Optim Theory Appl. 2014;162:350–370.
- Eichfelder G, Ha TXD. Optimality conditions for vector optimization problems with variable ordering structures. Optimization. 2013;62:597–627.
- Soleimani B. Characterization of approximate solutions of vector optimization problems with a variable order structure. J Optim Theory Appl. 2014;162:605–632.
- Eichfelder G, Kasimbeyli R. Properly optimal elements in vector optimization with variable ordering structures. J Glob Optim. 2014;60:689–712.
- Kasimbeyli R. A nonlinear cone separation theorem and scalarization in nonconvex vector optimization. SIAM J Optim. 2010;20:1591–1619.
- Gutiérrez C, Jiménez B, Novo V. New second-order directional derivative and optimality conditions in scalar and vector optimization. J Optim Theory Appl. 2009;142:85–106.
- Jahn J. Vector optimization-theory, applications, and extensions. 2nd ed. Heidelberg: Springer; 2011.
- Chen GY, Yang XQ, Yu H. A nonlinear scalarization function and generalized quasi-vector equilibrium problems. J Glob Optim. 2005;32:451–466.
- Chen GY, Yang XQ. Characterizations of variable domination structures via nonlinear scalarization. J Optim Theory Appl. 2002;112:97–110.
- Mordukhovich BS. Variational analysis and generalized differentiation, I: basic theory. Berlin: Springer; 2006.
- Mordukhovich BS. Variational analysis and generalized differentiation, II: applications. Berlin: Springer; 2006.
- Rockafellar RT, Wets RJB. Variational analysis. Berlin: Springer; 1998.
- Clarke FH. Optimization and nonsmooth analysis. New York: Wiley; 1983.
- Schirotzek W. Nonsmooth analysis. Berlin: Springer; 2007.
- Holmes RB. Geometric functional analysis and its applications. New York: Springer; 1975.
- Clarke FH, Ledyaev YS, Stern RJ, et al. Nonsmooth analysis and control theory. New York: Springer; 1998.
- Bishop E, Phelps RR. The support functionals of a convex set. Proc Sympos Pure Math. 1962;7:27–35.
- Jahn J. Bishop-Phelps cones in optimization. Int J Optim Theory Methods Appl. 2009;1:123–139.