  We present a class of models in the framework of gauge mediation
supersymmetry breaking where the standard model is supplemented by additional
U(1) symmetry which acts only on the third generation fermions. The messenger
fields carry non-trivial U(1) charge and are vector-like particles under this
symmetry. This leads to additional contribution to the soft supersymmetry
breaking mass terms for the third generation squarks and sleptons. In this
framework we show that the muon g-2 anomaly, the observed 125 GeV Higgs boson
mass and the detected relic dark matter abundance (gravitino in our case) can
be simultaneously accommodated. The resolution of the muon g-2 anomaly, in
particular, yields the result that the first two generation squark masses, as
well the gluino mass, should be <~ 2.5 TeV, which will be tested at LHC14.
