RESEARCH ON TWO FENCHEL DUAL MODELS FOR DC COMPOSITE OPTIMIZATION PROBLEMS
The model considered in this paper is an unconstrained DC composite convex optimization problem.Firstly,two Fenchel duality problems for DC composite optimization problems are established by using perturbation method,generalized convex conjugation theorem under c-conjugate scheme and evenly convex(e-convex,in brief)technique.Secondly,three important sets are given by using the properties of the epigraph of the c-conjugate function.Finally,the strong duality of two pairs of primal-dual problems and the equivalence between them are described under the assumption of e-convex function.
DC composite optimizationc-conjugate schemeFenchel dualityevenly convex function
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维普
