Sayyed Masood Zekavatmand - Department of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran
Javad Vahidi - Department of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran
Mohammad Bagher Ghaemi - Department of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran

In this paper, we introduce a new iterative method for finding the fixed point of a nonlinear function. In fact, we want to offer a new way to obtain the fixed point of various functions using the Grey Wolf Optimizer algorithm. This method is new and very efficient for solving a nonlinear equation. We explain this method with three benchmark functions and compare results with other methods, such as ALO, MVO, MFO and SCA.

Meta-heuristic algorithms, Fixed point problems, Grey Wolf Optimizer Algorithm, Bisection algorithm