کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640661 | 1341282 | 2009 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: An iterative algorithm based on MM-proximal mappings for a system of generalized implicit variational inclusions in Banach spaces An iterative algorithm based on MM-proximal mappings for a system of generalized implicit variational inclusions in Banach spaces](/preview/png/4640661.png)
In this paper, we give the notion of MM-proximal mapping, an extension of PP-proximal mapping given in [X.P. Ding, F.Q. Xia, A new class of completely generalized quasi-variational inclusions in Banach spaces, J. Comput. Appl. Math. 147 (2002) 369–383], for a nonconvex, proper, lower semicontinuous and subdifferentiable functional on Banach space and prove its existence and Lipschitz continuity. Further, we consider a system of generalized implicit variational inclusions in Banach spaces and show its equivalence with a system of implicit Wiener–Hopf equations using the concept of MM-proximal mappings. Using this equivalence, we propose a new iterative algorithm for the system of generalized implicit variational inclusions. Furthermore, we prove the existence of solution of the system of generalized implicit variational inclusions and discuss the convergence and stability analysis of the iterative algorithm.
Journal: Journal of Computational and Applied Mathematics - Volume 233, Issue 2, 15 November 2009, Pages 361–371