Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON ADDITIVE MAPPINGS WITH BOUNDED VALUE NEAR A POINT

  • Won-Gil Park (Department of Mathematics Education, Mokwon University) ;
  • Ick-Soon Chang (Department of Mathematics, Chungnam National University) ;
  • Jaiok Roh (Ilsong Liberal Art Schools (Mathematics), Hallym University)
  • Received : 2023.10.21
  • Accepted : 2023.11.16
  • Published : 2023.11.30
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Abstract

In this paper, we will first prove the linearity of additive mappings with bounded value near a point. And by using our theorem we will investigate the instability of the Cauchy equation in ℝ2.

Keywords

Acknowledgement

This work was supported by National Research Foundation of Korea(NRF) grant funded by the Korea government (MSIT) (No. 2021R1A2C109489611).

References

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