Mirmostafaee, Alireza Kamel;Mahdavi, Mostafa

• Accepted : 2012.08.30
• Published : 2013.12.23
• 31 3

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

Set-valued mappings;orthogonal space;Hausdorff metric;Hyers-Ulam stability

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Cited by

1. A Singular Behaviour of a Set-Valued Approximate Orthogonal Additivity vol.70, pp.1-2, 2016, https://doi.org/10.1007/s00025-015-0468-9

Acknowledgement

Supported by : Ferdowsi University of Mashhad