Article ID Journal Published Year Pages File Type
472221 Computers & Mathematics with Applications 2012 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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