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A convex semidefinite optimization problem with a conic constraint is considered. We formulate a Wolfe-type dual problem for the problem for its &#x003F5;-approximate solutions, and then we prove &#x003F5;-weak duality theorem and &#x003F5;-strong duality theorem which hold between the problem and its Wolfe type dual problem. Moreover, we give an example illustrating the duality theorems

ϵ-Duality Theorems for Convex Semidefinite Optimization Problems with Conic Constraints