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 and Manuel de la Sen
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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

Mathematics, 2019, vol. 7, issue 9, 1-11

Abstract: 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.

Keywords: Hyers–Ulam–Rassias stability; set valued functional equation; convex set; Banach space; Hausdorff distance (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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