Solution analysis for a class of set-inclusive generalized equations: a convex analysis approach

2019/04/10 by A. Uderzo, Uderzo, A.
Mathematics · Computer Science · #Advanced Optimization Algorithms Research #Optimization and Variational Analysis #Fuzzy Systems and Optimization

paper · pdf · doi:10.48550/arxiv.1904.05296

Abstract

In the present paper, classical tools of convex analysis are used to study the solution set to a certain class of set-inclusive generalized equations. A condition for the solution existence and global error bounds is established, in the case the set-valued term appearing in the generalized equation is concave. A functional characterization of the contingent cone to the solution set is provided via directional derivatives. Specializations of these results are also considered when outer prederivatives can be employed.

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