Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (2): 581-592.

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Self Adaptive Viscosity Algorithm for Solving Variational Inequality Problem in Hilbert Spaces

Xia Pingjing,Cai Gang()   

  1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331
  • Received:2022-05-12 Revised:2022-10-17 Online:2023-04-26 Published:2023-04-17
  • Supported by:
    NSFC(12171062);Natural Science Foundation of Chongqing(CSTB2022NSCQ-JQX0004);Sciene and Technology Project of Chongqing Education Committee(KJZD-K201900504)

Abstract:

In this paper, we propose a new self adaptive subgradient extragradient viscosity algorithm for solving pseudomonotone variational inequality problems in Hilbert space. Using the new stepsize rule, the strong convergence theorem is obtained without any information about the Lipschitz constant. The effectiveness of the suggested algorithm is illustrated through some numerical examples.

Key words: Variational inequality, Pseudomonotone mapping, Self adaptive stepsize, Strong convergence

CLC Number: 

  • O177
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