Fixed points and the stability of some classes of functional equations


Liviu CădariuViorel Radu


Full PDF

carpathian_2008_24_3_299_309

We use a fixed point alternative in uniform spaces to prove the generalized Ulam-Hyers stability of a nonlinear single variable functional equation for mappings on groups with values in random normed spaces, as well as the generalized Ulam-Hyers stability of monomial functional equations, for mappings on Abelian groups taking values in sequentially complete locally convex spaces.

Additional Information

Author(s)

Cădariu, Liviu