Journal of Inequalities and Applications (Sep 2024)

A nonlinear split problem regarding variational inequalities and equilibrium problems

  • Tzu-Chien Yin,
  • Nawab Hussain,
  • Hind Alamri,
  • Asim Asiri,
  • Maha Mohammed Saeed

DOI
https://doi.org/10.1186/s13660-024-03196-0
Journal volume & issue
Vol. 2024, no. 1
pp. 1 – 18

Abstract

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Abstract Split problems under linear transformations have been studied extensively in the literature. In this paper, we investigate a split problem under a nonlinear transformation, which consists of two variational inequalities and an equilibrium problem. We propose an iterative sequence for computing a solution to this split problem. Strong convergence theorem is achieved under additional standard conditions.

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