Research Article

A Note on the Stability of Some Functional Equations on Certain Groupoids

Volume: 3 Number: 2 June 1, 2020
EN

A Note on the Stability of Some Functional Equations on Certain Groupoids

Abstract

In this paper, we show that the stability of Cauchy set-valued functional equations and of Jensen set-valued functional equations can be derived from the stability of the corresponding equations in single-valued version.

Keywords

References

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  5. C. Castaing, M. Valadier: Convex analysis and measurable multifunctions: Lec. Notes in Math. Springer, Berlin, 1977.
  6. J. B. Diaz, B. Margolis: A fixed point theorem of the alternative for contractions on a generalized complete metric space. Bull. Amer. Math. Soc. 74 (1968), 305–309.
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  8. Z. Gajda: On stability of additive mappings. Internat. J. Math. Math. Sci. 14(3) (1991), 431–434.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 1, 2020

Submission Date

April 30, 2020

Acceptance Date

May 31, 2020

Published in Issue

Year 2020 Volume: 3 Number: 2

APA
Senasukh, J., & Saejung, S. (2020). A Note on the Stability of Some Functional Equations on Certain Groupoids. Constructive Mathematical Analysis, 3(2), 96-103. https://doi.org/10.33205/cma.729765
AMA
1.Senasukh J, Saejung S. A Note on the Stability of Some Functional Equations on Certain Groupoids. CMA. 2020;3(2):96-103. doi:10.33205/cma.729765
Chicago
Senasukh, Jedsada, and Satit Saejung. 2020. “A Note on the Stability of Some Functional Equations on Certain Groupoids”. Constructive Mathematical Analysis 3 (2): 96-103. https://doi.org/10.33205/cma.729765.
EndNote
Senasukh J, Saejung S (June 1, 2020) A Note on the Stability of Some Functional Equations on Certain Groupoids. Constructive Mathematical Analysis 3 2 96–103.
IEEE
[1]J. Senasukh and S. Saejung, “A Note on the Stability of Some Functional Equations on Certain Groupoids”, CMA, vol. 3, no. 2, pp. 96–103, June 2020, doi: 10.33205/cma.729765.
ISNAD
Senasukh, Jedsada - Saejung, Satit. “A Note on the Stability of Some Functional Equations on Certain Groupoids”. Constructive Mathematical Analysis 3/2 (June 1, 2020): 96-103. https://doi.org/10.33205/cma.729765.
JAMA
1.Senasukh J, Saejung S. A Note on the Stability of Some Functional Equations on Certain Groupoids. CMA. 2020;3:96–103.
MLA
Senasukh, Jedsada, and Satit Saejung. “A Note on the Stability of Some Functional Equations on Certain Groupoids”. Constructive Mathematical Analysis, vol. 3, no. 2, June 2020, pp. 96-103, doi:10.33205/cma.729765.
Vancouver
1.Jedsada Senasukh, Satit Saejung. A Note on the Stability of Some Functional Equations on Certain Groupoids. CMA. 2020 Jun. 1;3(2):96-103. doi:10.33205/cma.729765

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