Generic uniqueness theorems with some applications

Generic uniqueness theorems with some applications

0.00 Avg rating0 Votes
Article ID: iaor20134135
Volume: 56
Issue: 2
Start Page Number: 713
End Page Number: 725
Publication Date: Jun 2013
Journal: Journal of Global Optimization
Authors: , ,
Keywords: calculus of variations, global optimization, mapping
Abstract:

We first present a proper condition under which the image of a set‐valued mapping becomes a singleton and then obtain several generic uniqueness theorems which can be applied to study the uniqueness of the solutions for nonlinear problems. As applications, we prove that, in the sense of Baire category, most optimization problems (respectively, saddle point problems and variational inequality problems) have unique solution.

Reviews

Required fields are marked *. Your email address will not be published.