Quasistable Parametric Optimization Without Compact Level Sets

摘要

The well-known perturbational duality theory for convex optimization is refined to handle directly, in locally convex Hausdorff spaces, problems involving noncoercive convex functionals together with unbounded densely defined linear operators or, more generally, convex processes. The theory presented includes conjugacy, recession, and epsilon-subdifferential formulas for the two fundamental pairs of dual operations and also includes systematic treatment of epsilon-solutions. (Author)