Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 14 3 2023 03 01 A new way to obtain fixed point functions using the grey wolf optimizer algorithm 1 7 6864 10.22075/ijnaa.2022.27491.3621 EN 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 Journal Article 2022 06 14 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 https://ijnaa.semnan.ac.ir/article_6864_5f2d743541670a42e5a8b1aced112b30.pdf