On the stability of a class of cosine type functional equations

Authors

  • John Michael Rassias National and Kapodistrian University of Athens Pedagogical Department of Education Mathematics and Informatics Section
  • Driss Zeglami ENSAM, Moulay Ismail University Department of Mathematics
  • Ahmed Charifi Ibn Tofail University Faculty Of Sciences Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v37i2.29563

Keywords:

stability, Superstability, D'Alembert equation, trigonometric functional equation

Abstract

The aim of this paper is to investigate the stability problem for the pexiderized trigonometric functional equation
    fâ‚(xy)+fâ‚‚(xσ(y))=2gâ‚(x)gâ‚‚(y),  x,y∈G,  
where G is an arbitrary group, fâ‚,fâ‚‚,gâ‚ and gâ‚‚ are complex valued functions on G and σ is an involution of G. Results of this paper also can be extended to the setting of monoids (that is, a semigroup with identity) that need not be abelian.

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Published

2017-04-23

Issue

Vol. 37 No. 2 (2019)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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