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An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

Author

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  • Tzu-Chien Yin
  • Yan-Kuen Wu
  • Ching-Feng Wen
  • Ljubisa Kocinac

Abstract

In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator. Convergence theorems are shown under some mild conditions. Several corollaries are also obtained.

Suggested Citation

  • Tzu-Chien Yin & Yan-Kuen Wu & Ching-Feng Wen & Ljubisa Kocinac, 2022. "An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities," Journal of Mathematics, Hindawi, vol. 2022, pages 1-9, February.
    • Handle: RePEc:hin:jjmath:8644675
    DOI: 10.1155/2022/8644675
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