Fenchel C-conjugate dual theory for a class of DC composite optimization problems
In the locally separated convex space,the unconstrained DC composite optimization problems is considered.According to the Fenchel-Moreau theorem of evenly convex(e-convex,in brief)function in the c-conjugate scheme,the Fenchel duality problem of DC composite optimization problem is established by perturbation method.Furthermore,by means of the properties of the epigraph of the c-conjugate function,the regularity conditions for the zero duality gap,the weak duality,and the strong duality of the primal problem and Fenchel duality problem are given.
DC composite optimizationevenly convex functionC-conjugate schemeFenchel dualityregularity condition
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