From convergence principles to stability and 1 optimality conditions
نویسندگان
چکیده
We show in a rather general setting that Hoelder and Lipschitz stability properties of 5 solutions to variational problems can be characterized by convergence of more or less abstract iteration 6 schemes. Depending on the principle of convergence, new and intrinsic stability conditions can be 7 derived. Our most abstract models are (multi-) functions on complete metric spaces. The relevance 8 of this approach is illustrated by deriving both classical and new results on existence and optimality 9 conditions, stability of feasible and solution sets and convergence behavior of solution procedures. 10
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