Parallel algorithms for variational inclusions and fixed points with applications
Afrah A. N. Abdou, Badriah A. S. Alamri, Yeol Je Cho, Yonghong Yao, Li-Jun Zhu · Fixed Point Theory and Applications · 2014
In this paper, we introduce two parallel algorithms for finding a zero of the sum of two monotone operators and a fixed point of a nonexpansive mapping in Hilbert spaces and prove some strong convergence theorems of the proposed algorithms.As special cases, we can approach the minimum-norm common element of the zero of the sum of two monotone operators and the fixed point of a nonexpansive mapping without using the metric projection.Further, we give some applications of our main results.