Seyyed Masoud Zekavatman - Department of Applied Mathematics, Iran University of Science and Tecnology Thehran, Iran

The main purpose of this article is to discover a new iterative procedure to distinguishing the fixed point of a function. In fact, we want to offer a modern procedure to gain the fixed point of different functions via the Bisection method and 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, Bisection method