کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
827457 | 908004 | 2011 | 4 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Generalized mixed quasi trifunction variational inequalities Generalized mixed quasi trifunction variational inequalities](/preview/png/827457.png)
In this paper, we introduce a new class of trifunction variational inequalities, which is called the generalized mixed quasi trifunction variational inequalities. Using the auxiliary principle technique, we suggest and analyze a proximal point method for solving the generalized mixed quasi trifunction variational inequalities. It is shown that the convergence of the proposed method requires only pseudomonotonicity, which is a weaker condition than monotonicity. Our results represent an improvement and refinement of previously known results. Since the generalized mixed quasi trifunction variational inequalities include bifunction variational inequalities and related optimization problems as special cases, results proved in this paper continue to hold for these problems.
Journal: Journal of King Saud University - Science - Volume 23, Issue 2, April 2011, Pages 171–174