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AIMS Mathematics

2023, Volume 8, Issue 5: 10788-10801. doi: 10.3934/math.2023547
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A novel iterative approach for resolving generalized variational inequalities

  • 1.
    Department of Mathematics, Air University, Islamabad, Pakistan
  • 2.
    Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
  • 3.
    Department of Mathematics, College of Science and Arts Onaizah, Qassim University, P.O. Box: 6640-Buraydah 51452, Saudi Arabia
  • Correction on: AIMS Mathematics 8: 23833–23834
  • Received: 09 January 2023 Revised: 08 February 2023 Accepted: 20 February 2023 Published: 06 March 2023

  • MSC : 26A33, 26A51, 26D10

  • For figuring out general variational inequalities, we propose a novel and innovative iterative method. First, we demonstrate that the fixed point formulation and general vaiational inequality are equivalent. The fixed point formulation is used to formulate the explicit and implicit schemes. The general variational inequalities are the basis for the new algorithms. The newly developed algorithm is demonstrated numerically. For figuring out general variational inequalities, these new methods are innovative. Additionally, the convergence analysis is provided under certain favorable conditions.

    Citation: Muhammad Bux, Saleem Ullah, Muhammad Bilal Khan, Najla Aloraini. A novel iterative approach for resolving generalized variational inequalities[J]. AIMS Mathematics, 2023, 8(5): 10788-10801. doi: 10.3934/math.2023547

    Related Papers:

  • For figuring out general variational inequalities, we propose a novel and innovative iterative method. First, we demonstrate that the fixed point formulation and general vaiational inequality are equivalent. The fixed point formulation is used to formulate the explicit and implicit schemes. The general variational inequalities are the basis for the new algorithms. The newly developed algorithm is demonstrated numerically. For figuring out general variational inequalities, these new methods are innovative. Additionally, the convergence analysis is provided under certain favorable conditions.


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