Title: A new method to solve optimisation problems via fixed point of firefly algorithm

Authors: WenXin Yu; JunNian Wang

Addresses: School of Information and Electrical Engineering, Hunan University of Science and Technology, Hunan Pro., XiangTan, 411201, China; College of Electrical and Information Engineering, Hunan University, Changsha, 410082, China ' School of Physics and Electronics, Hunan University of Science and Technology, Hunan Pro., Xiangtan,411201,China; Laboratory of Knowledge Processing Networked Manufacturing, Hunan University of Science and Technology, Hunan Pro., Xiangtan,411201, China

Abstract: In this paper, we are going to introduce a novel iteractive method, leading us to find the fixed point of a nonlinear function based on firefly algorithm. This new method is able to help us in solving nonlinear function more efficiently. In addition, some theorems will be obtained by using firefly algorithm. Lastly, we are going to prove the validity of the proposed technique through some complicated functions as well.

Keywords: fixed-point; firefly algorithm; nonlinear function; optimisation problems.

DOI: 10.1504/IJBIC.2018.092798

International Journal of Bio-Inspired Computation, 2018 Vol.11 No.4, pp.249 - 256

Accepted: 31 Jan 2018
Published online: 29 Jun 2018 *

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