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  • 标题:Convergence Theorems for the Variational Inequality Problems and Split Feasibility Problems in Hilbert Spaces
  • 本地全文:下载
  • 作者:Panisa Lohawech ; Anchalee Kaewcharoen ; Ali Farajzadeh
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2021
  • 卷号:2021
  • 页码:1-7
  • DOI:10.1155/2021/9980309
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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