Minimizing the difference of two quasiconvex functions over a vector-valued quasiconvex system
Stephan Dempe, Nazih Abderrazzak Gadhi, Khadija Hamdaoui · Optimization · 2019
The article is concerned with an optimization problem P where we minimize the difference of two quasiconvex scalar functions under a vector-valued quasiconvex system. Using the Q-subdifferential introduced by Suzuki and Kuroiwa [Optimality conditions and the basic constraint qualification for quasiconvex programming. Nonlinear Anal. 2011;74:1279–1285], together with a special constraint qualification, we give necessary optimality conditions to P.