Fixed points and the stability of some classes of functional equations

Liviu CădariuViorel Radu

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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.

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Cădariu, Liviu