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February 14, 2026MathematicsOpen Access

Extragradient Algorithms for Solving Certain Nonlinear Problems with Application to Image Restorations

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Authors

MAMuhammad Waseem AsgharMAMujahid AbbasAAAhad Hamoud Alotaibi

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Overview

This research demonstrates a new algorithm to effectively solve nonlinear problems, indicating significant improvements in image restoration tasks.

Key Points

  • The paper aims to introduce an inertial extragradient algorithm for solving various nonlinear problems.
  • Developed an inertial extragradient algorithm for fixed point and variational inclusion problems.
  • Proved strong convergence under certain assumptions on control parameters.
  • Applied the algorithm to split minimization, feasibility, and variational inequality problems.
  • Included numerical examples to demonstrate the algorithm's effectiveness.
  • Demonstrated strong convergence of the proposed algorithm.
  • Provided numerical examples showing the algorithm's effectiveness.
  • Included comparisons with different algorithms, showcasing improved performance.

Cite This Study

Asghar et al. (2026) studied this question.

synapsesocial.com/papers/699010df2ccff479cfe57263https://doi.org/10.3390/math14040652
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