%0 Journal Article %T -Duality Theorems for Convex Semidefinite Optimization Problems with Conic Constraints %A Gue Myung Lee %A Jae Hyoung Lee %J Journal of Inequalities and Applications %D 2010 %I Springer %R 10.1155/2010/363012 %X A convex semidefinite optimization problem with a conic constraint is considered. We formulate a Wolfe-type dual problem for the problem for its -approximate solutions, and then we prove -weak duality theorem and -strong duality theorem which hold between the problem and its Wolfe type dual problem. Moreover, we give an example illustrating the duality theorems. %U http://dx.doi.org/10.1155/2010/363012