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Asymptotic aspect of the quadratic functional equation in multi-normed spaces |
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| Authors: | M.S. Moslehian K. Nikodem |
| Affiliation: | a Department of Pure Mathematics, Ferdowsi University of Mashhad, PO Box 1159, Mashhad 91775, Iran b Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, Iran c Department of Mathematics, University of Bielsko-Bia?a, ul. Willowa 2, PL-43-309 Bielsko-Bia?a, Poland d Department of Mathematics, Technical University, Str. Daicoviciu 15., 400020, Cluj-Napoca, Romania |
| Abstract: | We investigate the Hyers-Ulam stability of the quadratic functional equation for mappings from abelian groups into multi-normed spaces. We also study the stability on a restricted domain and present an asymptotic behavior of the quadratic equation in the framework of multi-normed spaces. |
| Keywords: | Hyers-Ulam stability Multi-normed space Quadratic functional equation Asymptotic aspect |
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