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 to 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 Whale Optimization Algorithm. This method is new and very efficient for solving a nonlinear equation. We explain this method with four benchmark functions and compare results with others methods, such as ALO, MVO, SSA, SCA, GWO.

meta-heuristic algorithms, Fixed point problems, The Whale Optimization Algorithm.