## On the differentiability of fuzzy-valued mappings and the stability of a fuzzy differential inclusion |

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A. B. San Martin algebraic sum operation asymptotically stable Blasi differentiable bounded quasilinear operator Braga Barros concept of differentiability concepts of Frechet defined Differentiability of fuzzy differentiable at xq entiable at X0 equilibrium position Existence and uniqueness exists a number Fernando Torres flag manifolds fluids in unbounded Frechet differentiable fuzzy compact convex fuzzy compact set fuzzy differential inclusion fuzzy mappings fuzzy quasilinear operators fuzzy set fuzzy valued mapping fuzzy-valued G X if exists Gateaux derivative Gateaux differ Gateaux differentiability Hausdorff metric Hermitian structures Ibrahim-Gateaux differentiable IMECC-UNICAMP José Luiz Boldrini Jose Plinio Kc(X Kc{Y Lau is compact level set-valued mapping linear operator Luiz A. B. San Lyapunov-stable M.A. Rojas Medar metric space normed quasilinear space Paulo R. C. Ruffino Proof Proposition quasilinear differential inclusion real number Rojas-Medar rules of calculus Santos satisfies the inequality solution x(t stability of fuzzy support function Tc(Y Theorem 12 Theorem is proved upper semicontinuous xoll