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Stability of Generalized Multi-quadratic Mappings in Lipschitz Spaces

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Abstract

A mapping \(F:G^n\rightarrow E\), where G is an Abelian group, E a vector space, and n a positive integer, is called generalized multi-quadratic if it is generalized quadratic in each variable. In this paper, we prove the stability of generalized multi-quadratic mappings in Lipschitz spaces. The results of the present paper improve and extend some existing results.

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Authors and Affiliations

  1. Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719-95863, Malayer, Iran

    Mahshid Dashti & Hamid Khodaei

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  1. Mahshid Dashti
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  2. Hamid Khodaei
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Correspondence to Mahshid Dashti.

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Dashti, M., Khodaei, H. Stability of Generalized Multi-quadratic Mappings in Lipschitz Spaces. Results Math 74, 163 (2019). https://doi.org/10.1007/s00025-019-1083-y

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  • DOI: https://doi.org/10.1007/s00025-019-1083-y

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