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Convergence Theorems for the Variational Inequality Problems and Split Feasibility Problems in Hilbert Spaces

Author

Listed:
  • Panisa Lohawech
  • Anchalee Kaewcharoen
  • Ali Farajzadeh

Abstract

In this paper, we establish an iterative algorithm by combining Yamada’s hybrid steepest descent method and Wang’s algorithm for finding the common solutions of variational inequality problems and split feasibility problems. The strong convergence of the sequence generated by our suggested iterative algorithm to such a common solution is proved in the setting of Hilbert spaces under some suitable assumptions imposed on the parameters. Moreover, we propose iterative algorithms for finding the common solutions of variational inequality problems and multiple‐sets split feasibility problems. Finally, we also give numerical examples for illustrating our algorithms.

Suggested Citation

  • Panisa Lohawech & Anchalee Kaewcharoen & Ali Farajzadeh, 2021. "Convergence Theorems for the Variational Inequality Problems and Split Feasibility Problems in Hilbert Spaces," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jijmms:v:2021:y:2021:i:1:n:9980309
    DOI: 10.1155/2021/9980309
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    References listed on IDEAS

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    1. Yang, Hai & Bell, Michael G. H., 1997. "Traffic restraint, road pricing and network equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 303-314, August.
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