Perturbed convex programming in reflexive Banach spaces

Minimizing Convex Functions with Bounded Perturbations

“…There were many papers dealing with perturbed convex programs, for instance, [1], [4], [5], [6], [8], [11], [21], [22], [23], [24], [26], and [27]. A common feature of them is that the perturbed functionf is assumed to remain convex.…”