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Approximate bound state solutions of the Dirac equation with -deformedWoods-Saxon plus a new generalized ring-shaped potential are obtained for anyarbitrary L-state. The energy eigenvalue equation and correspondingtwo-component wave function are calculated by solving the radial and angularwave equations within a shortcut of the Nikiforov-Uvarov method. The solutionsof the radial and polar angular parts of the wave function are expressed interms of the Jacobi polynomials. A new approximation being expressed in termsof the potential parameters is carried out to deal with the strong singularcentrifugal potential term L(L+1)/r^2. Under some limitations, we can obtainsolution for the ring-shaped Hulth\'en potential and the standard usualspherical Woods-Saxon potential (q=1).Comment: 16 pages; 3 figures. arXiv admin note: substantial text overlap with  arXiv:1307.830

RELATIVISTIC BOUND STATES IN THE PRESENCE OF SPHERICALLY RING-SHAPED q-DEFORMED WOODS–SAXON POTENTIAL WITH ARBITRARY l-STATES