Mathematics
(Sep 2019)
Hyers–Ulam–Rassias Stability of Set Valued Additive and Cubic Functional Equations in Several Variables
Parbati Saha,
Tapas K. Samanta,
Nabin C. Kayal,
Binayak S. Choudhury,
Manuel de la Sen
Affiliations
Parbati Saha
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, West Bengal, India
Tapas K. Samanta
Department of Mathematics, Uluberia College, Uluberia, Howrah 711315, West Bengal, India
Nabin C. Kayal
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, West Bengal, India
Binayak S. Choudhury
Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, West Bengal, India
Manuel de la Sen
Institute of Research and Development of Processes, University of the Basque Country, Campus of Leioa, 48940 Leioa, Bizkaia, Spain
DOI
https://doi.org/10.3390/math7090836
Journal volume & issue
Vol. 7,
no. 9
Abstract
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In this paper, we establish Hyers−Ulam−Rassias stability results belonging to two different set valued functional equations in several variables, namely additive and cubic. The results are obtained in the contexts of Banach spaces. The work is in the domain of set valued analysis.
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