Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840740 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 22 Pages |
Abstract
In this paper, we apply the concept of coderivative and other tools from the generalized differentiation theory for set-valued mappings to study the stability of the feasible sets of both the primal and the dual problem in infinite-dimensional linear optimization with infinitely many explicit constraints and an additional conic constraint. After providing some specific duality results for our dual pair, we study the Lipschitz-like property of both mappings and also give bounds for the associated Lipschitz moduli. The situation for the dual shows much more involved than the case of the primal problem.
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Authors
Marco A. López, Andrea B. Ridolfi, Virginia N. Vera de Serio,