  We propose a scheme of repeated generalized Bell state measurement (GBSM) for
probabilistic quantum teleportation of single qubit state of a particle (say,
0) using 3-qubit non-maximally entangled (NME) GHZ state as a quantum channel.
Alice keeps two qubits (say, 1 and 2) of the 3-qubit resource and the third
qubit (say, 3) goes to Bob. Initially, Alice performs GBSM on qubits 0 and 1
which may lead to either success or failure. On obtaining success, Alice
performs projective measurement on qubit 2 in the eigen basis of $\sigma_{x}$.
Both these measurement outcomes are communicated to Bob classically, which
helps him to perform a suitable unitary transformation on qubit 3 to recover
the information state. On the other hand, if failure is obtained, the next
attempt of GBSM is performed on qubits 0 and 2. This process of repeating GBSM
on alternate pair of qubits may continue until perfect teleportation with unit
fidelity is achieved. We have obtained analytical expressions for success
probability up to three repetitions of GBSM. The success probability is shown
to be a polynomial function of bipartite concurrence of the NME resource. The
variation of success probability with the bipartite concurrence has been
plotted which shows the convergence of success probability to unity with GBSM
repetitions.
