In this work, an efficient eighth-order iterative method is proposed for solving systems of nonlinear equations in Banach spaces. The local convergence is analyzed by assuming weaker \(\omega\) -continuity condition on first order Fréchet derivative which thus expands the applicability of the method for such problems where the earlier study based on Lipschitz or Hölder conditions cannot be used. Computational Efficiency of the proposed scheme is studied and compared with existing iterative methods. Numerical experiments are performed on a variety of real life problems including Kepler’s equation, Van der waals equation of state, mixed Hammerstein-type equation etc. and comparison results are corroborated to extend the utility of presented method.
