Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (6): 1897-1911.

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A Inertial Contraction and Projection Algorithm for Pseudomonotone Variational Inequality Problems

Yuehong He(),Xianjun Long*()   

  1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067
  • Received:2021-03-01 Online:2021-12-26 Published:2021-12-02
  • Contact: Xianjun Long;
  • Supported by:
    the NSFC(11471059);the Basic and Advanced Research Project of Chongqing(cstc2021jcyj-msxmX0721);the Education Committee Project Research Foundation of Chongqing(KJZDK201900801);the Innovative Project of CTBU(ZDPTTD201908)


In this paper, we introduce a new inertial contraction and projection algorithm for pseudomonotone variational inequality problems. We prove the strong convergence theorem without the knowledge of the Lipschitz constant of the mapping. Finally, we give some numerical experiments to show the efficiency of the algorithm.

Key words: Variational inequality, Inertial contraction and projection method, Pseudomonotone, Strong convergence

CLC Number: 

  • O224