Korean J. Math. Vol. 26 No. 4 (2018) pp.615-628
DOI: https://doi.org/10.11568/kjm.2018.26.4.615

Stability of trigintic functional equation in multi-Banach spaces: fixed point approach

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Published: Dec 30, 2018
Keywords:
Hyers-Ulam stability, multi-Banach space, trigintic functional equation, fixed point method
Mathematics Subject Classification:
39B62, 47H10, 39B52, 39A11

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Murali Ramdoss
PG and Research Department of Mathematics Sacred Heart College (Autonomous) Tirupattur - 635 601, Tamil Nadu, India
Antony Raj Aruldass
PG and Research Department of Mathematics Sacred Heart College (Autonomous) Tirupattur - 635 601, Tamil Nadu, India
Choonkil Park
Research Institute for Natural Sciences Hanyang University Seoul 04763, Korea
Siriluk Paokanta
Research Institute for Natural Sciences Hanyang University Seoul 04763, Korea

Abstract

In this paper, we introduce the pioneering trigintic functional equation. Moreover, we establish the general solution of the trigintic functional equation and prove the Hyers-Ulam sum and product stabilities of the same equation in multi-Banach spaces by employing the fixed point approach.


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Supporting Agencies

National research Foundation of Korea

References

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