A Special Mutation Operator in the Genetic Algorithm for Fixed Point Problems

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 c...

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Bibliographic Details
Published in:Journal of function spaces 2023-04, Vol.2023, p.1-7
Main Authors: Jalali Varnamkhasti, Mohammad, Vali, Masoumeh
Format: Article
Language:English
Subjects:
Algorithms
Fixed points (mathematics)
Game theory
Genetic algorithms
Integer programming
Mathematical analysis
Mutation
Optimization
Performance assessment
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Summary: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2023/7714095