Necessary Conditions for Constrained Optimization Problems in Smooth Banach Spaces and Applications
We derive necessary optimality conditions for constrained minimization problems with lower semicontinuous inequality constraints, continuous equality constraints, and a set constraint in smooth Banach spaces. Then we apply these necessary optimality conditions to derive subdifferential characterizations of singular normal vectors to the epigraph and the graph of a function, subdifferential calculus, and necessary optimality conditions for mathematical programs with equilibrium constraints.
WMU ScholarWorks Citation
Zhu, Qiji Jim, "Necessary Conditions for Constrained Optimization Problems in Smooth Banach Spaces and Applications" (2006). Math Faculty Publications. 24.