Particle Swarm Optimization- Moth Flame Optimization Algorithm A Novel Algorithm for Solving Fixed Points of Different Functions

In this paper, we introduce a new iterative method to finding the fixed point of a nonlinear function.Therefore, we merge ideas proposed in Particle Swarm Optimization Algorithm and Moth Flame 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, MFO, MVO, SCA, SSA .

Keywords:

Meta-heuristic algorithms , Fixed point problems , Moth Flame Optimization Algorithm , Particle Swarm Optimization Algorithm