A generalized second-order derivative in nonsmooth optimization
SIAM Journal on Control and Optimization
Optimality conditions for non-finite valued convex composite functions
Mathematical Programming: Series A and B
Weak sharp minima in mathematical programming
SIAM Journal on Control and Optimization
Convex composite multi-objective nonsmooth programming
Mathematical Programming: Series A and B
On characterizing the solution sets of pseudolinear programs
Journal of Optimization Theory and Applications
Second-order global optimality conditions for convex composite optimization
Mathematical Programming: Series A and B
Second-order differentiability of generalized perturbation maps
Journal of Global Optimization
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Second-order optimality conditions are studied for the constrained optimization problem where the objective function and the constraints are compositions of convex functions and twice strictly differentiable functions. A second-order sufficient condition of a global minimizer is obtained by introducing a generalized representation condition. Second-order minimizer characterizations for a convex program and a linear fractional program are derived using the generalized representation condition