Strong Convergence of a New Iterative Algorithm for Split Monotone Variational Inclusion Problems

Lu-Chuan Ceng and Qing Yuan
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Lu-Chuan Ceng: Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
Qing Yuan: School of Mathematics and Statistics, Linyi University, Linyi 276000, China

Mathematics, 2019, vol. 7, issue 2, 1-12

Abstract: 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.

Keywords: split variational inclusion; fixed-point problem; hierarchical optimization problem; nonexpansive mapping; implicit general iterative method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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