A Special Mutation Operator in the Genetic Algorithm for Fixed Point Problems. (17th April 2023)

• Record Type: Journal Article
• Authors: Jalali Varnamkhasti, Mohammad; Vali, Masoumeh
• Other Names: Kumar Santosh Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2023(2023)
• Publication Date: 2023-04-17
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2023/7714095
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Over the past century, the fixed point theory has emerged as a very useful and efficient tool in the study of nonlinear problems. This study introduced a progressed genetic algorithm (GA) based on a particular mutation operator applying on a subdivided search space where integer label and relative coordinates are used. This algorithm eventually categorizes each fixed point as its solution in appropriate set. Extensive computational experiments are conducted to assess the performance of the proposed technique with a standard GA for solving some nonlinear numerical functions from the literature.