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A new class of strong mixed vector GQVIP-generalized quasi-variational inequality problems in fuzzy environment with regularized gap functions based error bounds
Journal of Computational and Applied Mathematics ( IF 2.1 ) Pub Date : 2020-06-06 , DOI: 10.1016/j.cam.2020.113055
Nguyen Van Hung , Vo Minh Tam , Yong Zhou

In this paper, we introduce and study a new class of strong mixed vector generalized quasi-variational inequality problems (GQVIP) in fuzzy environment. Then, using the method of the nonlinear scalarization function, the regularized gap functions for GQVIP is established. In addition, error bounds are provided for GQVIP via those regularized gap functions under suitable assumptions. The main results obtained in this paper are new and extend some corresponding known results. Some examples are given for the illustration of our results.



中文翻译:

基于正则化间隙函数的模糊边界上的一类新的强混合向量GQVIP广义拟变分不等式问题

在本文中,我们介绍并研究了模糊环境下的一类新的强混合矢量广义拟变分不等式问题(GQVIP)。然后,利用非线性标量函数的方法,建立了GQVIP的正则化间隙函数。另外,在适当的假设下,通过那些正则化的缺口函数为GQVIP提供了误差范围。本文获得的主要结果是新的,并扩展了一些相应的已知结果。给出了一些例子来说明我们的结果。

更新日期:2020-06-06
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