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


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


	Fixed Point Theory, Volume 20, No. 2, 2019, 469-482, June 1st, 2019 DOI: 10.24193/fpt-ro.2019.2.30 Authors: L.C. Ceng, I. Coroian, X. Qin and J.C. Yao Abstract: 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. Key Words and Phrases: Split variational inclusion, hierarchical variational inequality, nonexpansive mapping, implicit iterative method. 2010 Mathematics Subject Classification: 47H09, 47J20, 47N10. Published on-line: June 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents