Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Approximately Orthogonal Additive Set-valued Mappings

  • Mirmostafaee, Alireza Kamel (Center of Excellence in Analysis on Algebraic Structures, Department of pure Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad) ;
  • Mahdavi, Mostafa (Center of Excellence in Analysis on Algebraic Structures, Department of pure Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad)
  • Received : 2012.06.11
  • Accepted : 2012.08.30
  • Published : 2013.12.23
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Abstract

We investigate the stability of orthogonally additive set-valued functional equation $$F(x+y)=F(x)+F(y)(x{\perp}y)$$ in Hausdorff topology on closed convex subsets of a Banach space.

Keywords

Acknowledgement

Supported by : Ferdowsi University of Mashhad

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