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In this paper, we present a modified new sixth-order fixed point iterative method for solving nonlinear functional equations and analyzed. The modified new sixth-order fixed point iterative method has convergence of order six and efficiency index 1.8171 which is larger than most of the existing methods and the methods discussed in Table 1. The modified new sixth-order fixed point iterative method converges faster than the methods discussed in Tables 1-6. The comparison tables demonstrate the faster convergence of the modified new sixth-order fixed point method.

MODIFIED NEW SIXTH-ORDER FIXED POINT ITERATIVE METHODS FOR SOLVING NONLINEAR FUNCTIONAL EQUATIONS