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Some generalized quadratic functional equations on monoids

  • Bruce EbanksEmail author
Article
  • 18 Downloads

Abstract

We solve two Pexiderized extensions of the quadratic functional equation on monoids. The equation is extended by replacing the group inversion in the classical quadratic equation with an involution, which may be either homomorphic or anti-homomorphic. Also two extensions of the Drygas functional equation are solved in the same setting. In all results it is assumed that at least one unknown function is central.

Keywords

Quadratic functional equation Involution Drygas functional equation Semigroup Monoid Pexider equation 

Mathematics Subject Classification

39B52 

Notes

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of LouisvilleLouisvilleUSA

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