A general viscosity implicit iterative algorithm for split variational inclusions with hierarchical variational inequality constraints

Lu-Chuan Ceng, Iulia COROIAN, Xiaolong Qin, Jinke Yao · Fixed Point Theory · 2019

The purpose of this paper is to introduce a general viscosity implicit iterative method for finding a solution of a split variational inclusion problem (SVIP) with a hierarchical variational inequality (HVI) constraint for a countable family of nonexpansive mappings in Hilbert spaces. Strong convergence theorem is obtained under some mild assumptions.

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