Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (4): 1017-1032.doi: 10.1007/s10473-019-0408-y

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HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES

Prondanai KASKASEM1, Chakkrid KILN-EAM1,2   

  1. 1. Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand;
    2. Research Center for Academic Excellence in Mathematics, Naresuan University, Thailand
  • Received:2018-01-03 Revised:2018-04-10 Online:2019-08-25 Published:2019-09-12

Abstract: In this article, we prove hyperstability results of the generalized Cauchy-Jensen functional equation
αf(x+y/α+ z)=f(x) + f(y) + αf(z)
for any fixed positive integer α ≥ 2 in ultrametric Banach spaces by using fixed point method.

Key words: Hyperstability, generalized Cauchy-Jensen functional equation, ultrametric space

CLC Number: 

  • 39B52
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