One-sided derivatives for the value function in convex parametric programming

In 9] it is shown that the one-sided derivatives of parametric linear semi-infinite programs can be expressed in terms of one-sided cluster points of solutions and Lagrange-multipliers of the perturbed problem.

In this paper convex programs on Banach-spaces are studied. We generalize the results in 9] to this case. The analysis is based on convex duality theory 2].