Research Article

Set-Valued Additive Functional Equations

Volume: 2 Number: 2 June 1, 2019
EN

Set-Valued Additive Functional Equations

Abstract

In this paper, we  introduce  set-valued additive  functional equations and prove the Hyers-Ulam stability of the  set-valued additive  functional equations by using the fixed point method.

Keywords

References

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  5. [5] T. Cardinali, K. Nikodem and F. Papalini: Some results on stability and characterization of K-convexity of set-valued functions. Ann. Polon. Math. 58 (1993), 185–192.
  6. [6] T. Cascales and J. Rodrigeuz: Birkhoff integral for multi-valued functions. J. Math. Anal. Appl. 297 (2004), 540–560.
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  8. [8] L. Cadariu and V. Radu: Fixed points and the stability of Jensen’s functional equation. J. Inequal. Pure Appl. Math. 4, no. 1, Art. ID 4 (2003).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sungsik Yun This is me
South Korea

Jung Rye Lee
South Korea

Dong Yun Shın This is me
South Korea

Publication Date

June 1, 2019

Submission Date

February 27, 2019

Acceptance Date

April 8, 2019

Published in Issue

Year 2019 Volume: 2 Number: 2

APA
Park, C., Yun, S., Lee, J. R., & Shın, D. Y. (2019). Set-Valued Additive Functional Equations. Constructive Mathematical Analysis, 2(2), 89-97. https://doi.org/10.33205/cma.528182
AMA
1.Park C, Yun S, Lee JR, Shın DY. Set-Valued Additive Functional Equations. CMA. 2019;2(2):89-97. doi:10.33205/cma.528182
Chicago
Park, Choonkil, Sungsik Yun, Jung Rye Lee, and Dong Yun Shın. 2019. “Set-Valued Additive Functional Equations”. Constructive Mathematical Analysis 2 (2): 89-97. https://doi.org/10.33205/cma.528182.
EndNote
Park C, Yun S, Lee JR, Shın DY (June 1, 2019) Set-Valued Additive Functional Equations. Constructive Mathematical Analysis 2 2 89–97.
IEEE
[1]C. Park, S. Yun, J. R. Lee, and D. Y. Shın, “Set-Valued Additive Functional Equations”, CMA, vol. 2, no. 2, pp. 89–97, June 2019, doi: 10.33205/cma.528182.
ISNAD
Park, Choonkil - Yun, Sungsik - Lee, Jung Rye - Shın, Dong Yun. “Set-Valued Additive Functional Equations”. Constructive Mathematical Analysis 2/2 (June 1, 2019): 89-97. https://doi.org/10.33205/cma.528182.
JAMA
1.Park C, Yun S, Lee JR, Shın DY. Set-Valued Additive Functional Equations. CMA. 2019;2:89–97.
MLA
Park, Choonkil, et al. “Set-Valued Additive Functional Equations”. Constructive Mathematical Analysis, vol. 2, no. 2, June 2019, pp. 89-97, doi:10.33205/cma.528182.
Vancouver
1.Choonkil Park, Sungsik Yun, Jung Rye Lee, Dong Yun Shın. Set-Valued Additive Functional Equations. CMA. 2019 Jun. 1;2(2):89-97. doi:10.33205/cma.528182

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