Iterated Function Systems and stability of variational problems on self-similar objects

作者：Freiberg Uta; La Torre Davide^*; Mendivil Franklin

来源：Nonlinear Analysis: Real World Applications , 2011, 12(2): 1123-1129.

DOI：10.1016/j.nonrwa.2010.09.006

• Hausdorff metric
• Monge-Kantorovich metric
• Multifunctions
• Variational problems
• Iterated Function Systems
• Fractals
• Set valued analysis

We consider a variational optimization problem involving multifunctions and we prove a stability result with respect to the Monge-Kantorovich metric. We then show an application to variational problems defined on fractals generated by Iterated Function Systems.

• 出版日期2011-4