Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472221 | Computers & Mathematics with Applications | 2012 | 11 Pages |
Abstract
In this paper we revise several generalizations of the algebraic Hanh–Banach extension theorem for set-valued maps and give new versions in terms of set-relations and selections. We apply our results by establishing optimality conditions for a set-valued constrained optimization problem considering several types of solutions. Finally, we give necessary conditions for the existence of affine selections via affinelike maps in the framework of linear spaces.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Elvira Hernández, Luis Rodríguez-Marín, Miguel Sama,