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June 12, 2026PLoS ONEOpen Access

A novel adaptive quasi-Newton-type update and its global convergence without Lipschitz condition for constrained system of nonlinear monotone equations

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Authors

KAKabiru AhmedBayero University KanoHSHatem E. SemarySultan Zainal Abidin UniversityAAA. S. Al-MoisheerImam Mohammad ibn Saud Islamic University

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Implication

Randomized trial demonstrates global convergence in constrained nonlinear equations, suggesting a novel solution approach.

Key Points

  • The aim is to introduce a novel iterative method for solving constrained systems of nonlinear monotone equations.
  • Developed a double-parameter adaptive quasi-Newton update method.
  • Utilized a positive-definite adaptation for optimization without the Lipschitz condition.
  • Implemented numerical experiments to evaluate the method's effectiveness against existing methods.
  • The proposed method achieves global convergence without relying on the Lipschitz condition.
  • Numerical experiments indicate superior performance in solving nonlinear equations compared to conventional methods.

Cite This Study

Ahmed et al. (2026) studied this question.

synapsesocial.com/papers/6a2ba3748101cf8926f021fehttps://doi.org/10.1371/journal.pone.0344697
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