References
- Benoist J, Borwein JM, Popovici N. A characterization of quasiconvex vector-valued functions. Proc Am Math Soc. 2002;131(4):1109–1114. doi: 10.1090/S0002-9939-02-06761-8
- Suzuki S, Kuroiwa D. Optimality conditions and the basic constraint qualification for quasiconvex programming. Nonlinear Anal. 2011;74(4):1279–1285. doi: 10.1016/j.na.2010.09.066
- Suzuki S, Kuroiwa D. Subdifferential calculus for a quasiconvex function with generator. J Math Anal Appl. 2011;384(2):677–682. doi: 10.1016/j.jmaa.2011.06.015
- Hiriart-Urruty JB. From convex optimization to nonconvex optimization, Part I: necessary and sufficient conditions for global optimality. In: Clarke FH, Demyanov VF, Giannessi F, eds. Nonsmooth optimization and related topics. New York (NY): Plenum Press; 1989, p. 219–239.
- Penot JP, Volle M. On quasi-convex duality. Math Oper Res. 1990;15:597–625. doi: 10.1287/moor.15.4.597
- Suzuki S, Kuroiwa D. On set containment characterization and constraint qualification for quasiconvex programming. J Optim Theory Appl. 2011;149(3):554–563. doi: 10.1007/s10957-011-9804-8
- Suzuki S, Kuroiwa D. Some constraint qualifications for quasiconvex vector-valued systems. J Global Optim. 2013;55(3):539–548. doi: 10.1007/s10898-011-9807-x
- Jeyakumar V. Constraint qualifications characterizing Lagrangian duality in convex optimization. J Optim Theory Appl. 2008;136(1):31–41. doi: 10.1007/s10957-007-9294-x
- Li C, Ng KF, Pong TK. Constraint qualifications for convex inequality systems with applications in constrained optimization. SIAM J Optim. 2008;19(1):163–187. doi: 10.1137/060676982
- Kannan R, Krueger CK. Dini derivatives. Advanced analysis. Universitext. New York (NY): Springer; 1996.