Strong Convergence of a New Iterative Algorithm for Split Monotone Variational Inclusion Problems
Lu-Chuan Ceng, Qing Yuan · Mathematics · 2019
The main aim of this work is to introduce an implicit general iterative method for approximating a solution of a split variational inclusion problem with a hierarchical optimization problem constraint for a countable family of mappings, which are nonexpansive, in the setting of infinite dimensional Hilbert spaces. Convergence theorem of the sequences generated in our proposed implicit algorithm is obtained under some weak assumptions.