We consider a variational optimization problem involving multifunctions and we prove a stability result with respect to the MongeKantorovich metric. We then show an application to variational problems defined on fractals generated by Iterated Function Systems.
Iterated function systems and stability of variational problems on self-similar objects / U. Freiberg, D. La Torre, F. Mendivil. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - 12:2(2011 Apr), pp. 1123-1129. [10.1016/j.nonrwa.2010.09.006]
Iterated function systems and stability of variational problems on self-similar objects
D. La TorreSecondo
;
2011
Abstract
We consider a variational optimization problem involving multifunctions and we prove a stability result with respect to the MongeKantorovich metric. We then show an application to variational problems defined on fractals generated by Iterated Function Systems.
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