Converse Duality for Constrained Composed Optimization via a Generalized Conjugation Scheme
In separated locally convex topological spaces,the general constrained optimization problem owing the composition with a linear continuous mapping in the objective function is mainly studies.By means of a coupling conjugation scheme and the perturbational approach,three dual problems of the constrained composed optimization are obtained,and sufficient conditions for converse duality involving the even convexity of the perturbation function are specifically given.