Research article

On the stability of projected dynamical system for generalized variational inequality with hesitant fuzzy relation

  • Received: 29 June 2020 Accepted: 03 September 2020 Published: 10 September 2020
  • MSC : 26E50, 49K15

  • In this paper, we investigate the projected dynamical system associated with the generalized variational inequality with hesitant fuzzy relation. We establish the equivalence between the generalized variational inequality with hesitant fuzzy relation and the fuzzy fixed point problem. And we analyze the existence theorem and iterative algorithm of solutions to such problem. Furthermore, using the projection method, we propose a projection neural network for solving the generalized variational inequality with hesitant fuzzy relation and discuss the stability of the proposed projected dynamical system.

    Citation: Ting Xie, Dapeng Li. On the stability of projected dynamical system for generalized variational inequality with hesitant fuzzy relation[J]. AIMS Mathematics, 2020, 5(6): 7107-7121. doi: 10.3934/math.2020455

    Related Papers:

  • In this paper, we investigate the projected dynamical system associated with the generalized variational inequality with hesitant fuzzy relation. We establish the equivalence between the generalized variational inequality with hesitant fuzzy relation and the fuzzy fixed point problem. And we analyze the existence theorem and iterative algorithm of solutions to such problem. Furthermore, using the projection method, we propose a projection neural network for solving the generalized variational inequality with hesitant fuzzy relation and discuss the stability of the proposed projected dynamical system.


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