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Hyers–Ulam–Rassias Stability of Set Valued Additive and Cubic Functional Equations in Several Variables

Author

Listed:
  • 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)

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.

Suggested Citation

  • Parbati Saha & Tapas K. Samanta & Nabin C. Kayal & Binayak S. Choudhury & Manuel de la Sen, 2019. "Hyers–Ulam–Rassias Stability of Set Valued Additive and Cubic Functional Equations in Several Variables," Mathematics, MDPI, vol. 7(9), pages 1-11, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:836-:d:265851
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