Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (3): 904-919.

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A New Projection Algorithm for Solving Pseudo-Monotone Variational Inequality and Fixed Point Problems

Jing Yang(),Xianjun Long*()   

  1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067
  • Received:2021-08-12 Online:2022-06-26 Published:2022-05-09
  • Contact: Xianjun Long;
  • Supported by:
    NSFC(11471059);the NSF of Chongqing(cstc2021jcyj-msxmX0721);the Education Committee Project Research Foundation of Chongqing(KJZD-K201900801)


In this paper, we propose a new projection algorithm for finding a common element of psedomonotone variational inequality problems and fixed point set of demicontractive mappings in Hilbert spaces. We prove that this new algorithm converges strongly to the common element for a psedomonotone and uniformly continuous mapping. Finally, we provide some numerical experiments to illustrate the efficiency and advantages of the new projection algorithm.

Key words: Variational inequality, Fixed point, Projection algorithm, Uniformly continuous, Pseudomonotone

CLC Number: 

  • O224