An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces. (English) Zbl 1513.47117
Summary: In this article, we introduce an explicit parallel algorithm for finding a common element of zeros of the sum of two accretive operators and the set of fixed point of a nonexpansive mapping in the framework of Banach spaces. We prove its strong convergence under some mild conditions. Finally, we provide some applications to the main result. The results presented in this paper extend and improve the corresponding results in the literature.
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 47J22 | Variational and other types of inclusions |
Keywords:
variational inclusion; Banach space; strong convergence; accretive operator; parallel algorithmReferences:
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